diff --git a/django/contrib/auth/checks.py b/django/contrib/auth/checks.py
index cf23c51746c5..0de4cf49f1a0 100644
--- a/django/contrib/auth/checks.py
+++ b/django/contrib/auth/checks.py
@@ -1,5 +1,4 @@
 from itertools import chain
-from types import MethodType
 
 from django.apps import apps
 from django.conf import settings
@@ -98,7 +97,7 @@ def check_user_model(app_configs, **kwargs):
                 )
             )
 
-    if isinstance(cls().is_anonymous, MethodType):
+    if callable(cls().is_anonymous):
         errors.append(
             checks.Critical(
                 "%s.is_anonymous must be an attribute or property rather than "
@@ -108,7 +107,7 @@ def check_user_model(app_configs, **kwargs):
                 id="auth.C009",
             )
         )
-    if isinstance(cls().is_authenticated, MethodType):
+    if callable(cls().is_authenticated):
         errors.append(
             checks.Critical(
                 "%s.is_authenticated must be an attribute or property rather "
diff --git a/django/utils/html.py b/django/utils/html.py
index 734d7fbfb3d0..b04d6bc5eef6 100644
--- a/django/utils/html.py
+++ b/django/utils/html.py
@@ -297,6 +297,7 @@ class Urlizer:
     simple_url_re = _lazy_re_compile(r"^https?://\[?\w", re.IGNORECASE)
     simple_url_2_re = _lazy_re_compile(
         rf"^www\.|^(?!http)(?:{DomainNameValidator.hostname_re})"
+        rf"(?:{DomainNameValidator.domain_re})"
         r"\.(com|edu|gov|int|mil|net|org)($|/.*)$",
         re.IGNORECASE,
     )
diff --git a/tests/auth_tests/test_checks.py b/tests/auth_tests/test_checks.py
index 3d70451e9d1c..19e9faddedf8 100644
--- a/tests/auth_tests/test_checks.py
+++ b/tests/auth_tests/test_checks.py
@@ -206,6 +206,45 @@ def is_authenticated(self):
             ],
         )
 
+    @override_settings(AUTH_USER_MODEL="auth_tests.VulnerableStaticUser")
+    def test_is_anonymous_authenticated_static_methods(self):
+        """
+        <User Model>.is_anonymous/is_authenticated must not be static methods.
+        """
+
+        class VulnerableStaticUser(AbstractBaseUser):
+            username = models.CharField(max_length=30, unique=True)
+            USERNAME_FIELD = "username"
+
+            @staticmethod
+            def is_anonymous():
+                return False
+
+            @staticmethod
+            def is_authenticated():
+                return False
+
+        errors = checks.run_checks(app_configs=self.apps.get_app_configs())
+        self.assertEqual(
+            errors,
+            [
+                checks.Critical(
+                    "%s.is_anonymous must be an attribute or property rather than "
+                    "a method. Ignoring this is a security issue as anonymous "
+                    "users will be treated as authenticated!" % VulnerableStaticUser,
+                    obj=VulnerableStaticUser,
+                    id="auth.C009",
+                ),
+                checks.Critical(
+                    "%s.is_authenticated must be an attribute or property rather "
+                    "than a method. Ignoring this is a security issue as anonymous "
+                    "users will be treated as authenticated!" % VulnerableStaticUser,
+                    obj=VulnerableStaticUser,
+                    id="auth.C010",
+                ),
+            ],
+        )
+
 
 @isolate_apps("auth_tests", attr_name="apps")
 @override_system_checks([check_models_permissions])
diff --git a/tests/utils_tests/test_html.py b/tests/utils_tests/test_html.py
index bf00d1449678..b388d3ce52a3 100644
--- a/tests/utils_tests/test_html.py
+++ b/tests/utils_tests/test_html.py
@@ -455,6 +455,10 @@ def test_urlize(self):
                 '<a href="mailto:idna-2008@%DE%89%DE%A8%DE%80%DE%A7%DE%83%DE%AA.ex'
                 'ample.mv">idna-2008@މިހާރު.example.mv</a>',
             ),
+            (
+                "host.djangoproject.com",
+                '<a href="https://host.djangoproject.com">host.djangoproject.com</a>',
+            ),
         )
         for value, output in tests:
             with self.subTest(value=value):