eternize vs immortalize

eternize and immortalize both are verbs.

Word	Noun	Adjective	Verb	Adverb
eternize	No	No	Yes	No
immortalize	No	No	Yes	No

As verbs, eternize and immortalize are synonyms defined as:

Other synonyms of eternize include eternalise, eternalize, eternise, immortalise.

eternize (verb)	immortalize (verb)
make famous forever	make famous forever
cause to continue indefinitely	be or provide a memorial to a person or an event