Riddle of The Day...

Of the following words, which does not belong and what do the others have in common?
EVIL, FAT, ROMAN, DOUBLE, HANDLEBAR, SWEET, CACTUS, CAULIFLOWER

The answer:
CACTUS is the odd one out! Why?

The other words combine with facial features in common phrases: EVIL eye, FAT lip, ROMAN nose, DOUBLE chin, HANDLEBAR moustache, SWEET tooth, CAULIFLOWER ear...