Bishop of Rome vs pope

Bishop of Rome and pope both are nouns.

Word	Noun	Adjective	Verb	Adverb
Bishop of Rome	Yes	No	No	No
pope	Yes	No	No	No

As nouns, Bishop of Rome and pope are synonyms defined as:

Other synonyms of Bishop of Rome include Catholic Pope, Holy Father, pontiff, Roman Catholic Pope, Vicar of Christ.

Bishop of Rome (noun)	pope (noun)
the head of the Roman Catholic Church	the head of the Roman Catholic Church