to have the power to draw (things) towards itself

A magnet attracts iron

to fascinate or arouse the affection or sexual interest of (somebody)

to draw the interest of (somebody)

Quite early on the diplomatic life attracted me

to become the focus of (e.g. notice or attention)

The noise attracted the attention of several passers-by

to be a reliable proposition for (e.g. funding or investment)

in law and insurance, to be liable for (tax, payments, etc)

Estates passing between spouses because of death do not attract capital transfer tax

to possess or exercise the power of attraction

Opposites attract