mental anguish vs pain

mental anguish and pain both are nouns.

Word	Noun	Adjective	Verb	Adverb
mental anguish	Yes	No	No	No
pain	Yes	No	Yes	No

As nouns, pain is a hypernym of mental anguish; that is, pain is a word with a broader meaning than mental anguish:

Other hypernyms of mental anguish include painfulness.

mental anguish (noun)	pain (noun)
sustained dull painful emotion	a somatic sensation of acute discomfort
	something or someone that causes trouble; a source of unhappiness
	emotional distress; a fundamental feeling that people try to avoid
	a symptom of some physical hurt or disorder

mental anguish (verb)	pain (verb)
	cause bodily suffering to and make sick or indisposed
	cause emotional anguish or make miserable