sympathizer vs sympathize

sympathizer is a noun but sympathize is not a noun.

Word	Noun	Adjective	Verb	Adverb
sympathizer	Yes	No	No	No
sympathize	No	No	Yes	No

sympathizer (noun)	sympathize (noun)
someone who shares your feelings or opinions and hopes that you will be successful
a person who commiserates with someone who has had misfortune

sympathizer (verb)	sympathize (verb)
	be understanding of
	to feel or express sympathy or compassion
	share the feelings of; understand the sentiments of