spill the beans vs divulge

spill the beans and divulge both are verbs.

Word	Noun	Adjective	Verb	Adverb
spill the beans	No	No	Yes	No
divulge	No	No	Yes	No

As verbs, divulge is a hypernym of spill the beans; that is, divulge is a word with a broader meaning than spill the beans:

spill the beans: divulge confidential information or secrets
divulge: make known to the public information that was previously known only to a few people or that was meant to be kept a secret

Other hypernyms of spill the beans include break, bring out, disclose, discover, expose, give away, let on, let out, reveal, uncover, unwrap.

spill the beans (verb)	divulge (verb)
divulge confidential information or secrets	make known to the public information that was previously known only to a few people or that was meant to be kept a secret