promote vs push

promote is not a noun while push is a noun.

Word	Noun	Adjective	Verb	Adverb
promote	No	No	Yes	No
push	Yes	No	Yes	No

As verbs, promote and push are synonyms defined as:

Other synonyms of promote include advertise, advertize.

As verbs, push is a hyponym of promote; that is, push is a word with a more specific, narrower meaning than promote:

promote: make publicity for; try to sell (a product)
push: exert oneself continuously, vigorously, or obtrusively to gain an end or engage in a crusade for a certain cause or person; be an advocate for

Other hyponyms of promote include propagandise, propagandize, plug, bill, agitate, campaign, crusade, fight, press.

promote (noun)	push (noun)
	the act of applying force in order to move something away
	an effort to advance
	an electrical switch operated by pressing
	enterprising or ambitious drive
	the force used in pushing

promote (verb)	push (verb)
make publicity for; try to sell (a product)	make publicity for; try to sell (a product)
change a pawn for a better piece by advancing it to the eighth row, or change a checker piece for a more valuable piece by moving it to the row closest to your opponent	press, drive, or impel (someone) to action or completion of an action
be changed for a superior chess or checker piece	make strenuous pushing movements during birth to expel the baby
give a promotion to or assign to a higher position	move with force
contribute to the progress or growth of	approach a certain age or speed
	press against forcefully without moving
	move strenuously and with effort
	sell or promote the sale of (illegal goods such as drugs)
	strive and make an effort to reach a goal
	exert oneself continuously, vigorously, or obtrusively to gain an end or engage in a crusade for a certain cause or person; be an advocate for