The easiest way to fix it would be to replace it. Home Depot, etc. will have the faucet, more properly known as a hose bib.
Looking at your picture, it's possible that you won't be able to unscrew it without chipping the wall opening away. If that's the case, you can probably take the valve and handle out and replace them (unscrew hex nut below handle). You'd have to find the same brand and size (either buy another complete hose bib, or see a plumbing supply house for parts).
You'll need to turn off the main water valve before attempting either of these, of course.