indulge vs exhaust

indulge is not a noun while exhaust is a noun.

Word	Noun	Adjective	Verb	Adverb
indulge	No	No	Yes	No
exhaust	Yes	No	Yes	No

As verbs, exhaust is a hypernym of indulge; that is, exhaust is a word with a broader meaning than indulge:

Other hypernyms of indulge include consume, deplete, eat, eat up, expend, run through, use, use up, wipe out.

indulge (noun)	exhaust (noun)
	system consisting of the parts of an engine through which burned gases or steam are discharged
	gases ejected from an engine as waste products

indulge (verb)	exhaust (verb)
yield (to); give satisfaction to	wear out completely
enjoy to excess	eliminate (a substance)
treat with excessive indulgence	use up the whole supply of
give free rein to	use up (resources or materials)
	deplete