pain vs hurting

pain and hurting both are nouns.

Word	Noun	Adjective	Verb	Adverb
pain	Yes	No	Yes	No
hurting	Yes	No	No	No

As nouns, pain and hurting are synonyms defined as:

pain (noun)	hurting (noun)
a somatic sensation of acute discomfort	a symptom of some physical hurt or disorder
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

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