milk cleanser vs cleaner

milk cleanser and cleaner both are nouns.

Word	Noun	Adjective	Verb	Adverb
milk cleanser	Yes	No	No	No
cleaner	Yes	No	No	No

As nouns, cleaner is a hypernym of milk cleanser; that is, cleaner is a word with a broader meaning than milk cleanser:

milk cleanser: A face cleanser that is similar in texture to condensed milk.
cleaner: a preparation used in cleaning something

Other hypernyms of milk cleanser include cleanser, cleansing agent.

milk cleanser (noun)	cleaner (noun)
A face cleanser that is similar in texture to condensed milk.	a preparation used in cleaning something
	someone whose occupation is cleaning
	the operator of dry-cleaning establishment