Dorgan is generally credited with either creating or popularizing such words and expressions as "dumbbell" (a stupid person); "for crying out loud" (an exclamation of astonishment); "cat's meow" and "cat's pajamas" (as superlatives); "applesauce" (nonsense); "cheaters'" (eyeglasses); "skimmer" (a hat); "hard-boiled" (a tough person); "drugstore cowboy" (loafers or ladies' men); "nickel-nurser" (a miser); "as busy as a one-armed paperhanger" (overworked); and "Yes, we have no bananas," which was turned into a popular song.

W. J. Funk, of the Funk and Wagnall's dictionary company, placed Dorgan at the top of the list of the 10 "most fecund makers of American slang."