diff --git a/Lib/test/test_urlparse.py b/Lib/test/test_urlparse.py
--- a/Lib/test/test_urlparse.py
+++ b/Lib/test/test_urlparse.py
@@ -797,6 +797,13 @@
                           encoding='utf-8')
         self.assertRaises(TypeError, urllib.parse.quote, b'foo', errors='strict')
 
+    def test_issue14072(self):
+        p1 = urllib.parse.urlsplit('tel:+31-641044153')
+        self.assertEqual(p1.scheme, 'tel')
+        self.assertEqual(p1.path, '+31-641044153')
+        p2 = urllib.parse.urlsplit('tel:+31641044153')
+        self.assertEqual(p2.scheme, 'tel')
+        self.assertEqual(p2.path, '+31641044153')
 
 def test_main():
     support.run_unittest(UrlParseTestCase)
diff --git a/Lib/urllib/parse.py b/Lib/urllib/parse.py
--- a/Lib/urllib/parse.py
+++ b/Lib/urllib/parse.py
@@ -345,12 +345,12 @@
             if c not in scheme_chars:
                 break
         else:
-            try:
-                # make sure "url" is not actually a port number (in which case
-                # "scheme" is really part of the path
-                _testportnum = int(url[i+1:])
-            except ValueError:
-                scheme, url = url[:i].lower(), url[i+1:]
+            # make sure "url" is not actually a port number (in which case
+            # "scheme" is really part of the path)
+            rest = url[i+1:]
+            if not rest or any(c not in '0123456789' for c in rest):
+                # not a port number
+                scheme, url = url[:i].lower(), rest
 
     if url[:2] == '//':
         netloc, url = _splitnetloc(url, 2)