Cessna 172 pilot reported loss of directional control on landing roll that resulted in a runway excursion and a broken runway light.

Narrative

I was flying the pattern at ZZZ doing landing practices on Runway XX. Winds were reasonable (reported 7 & 8 kts by ATIS) during the flight; but a right crosswind seemed to be developing.On my sixth landing; I had just touched down (was probably at 45-55 kts) when a strong crosswind gust pushed me off the left side of the runway into the gravel; and I apparently struck a runway light with a tire. I recovered and taxied to a turnoff and contacted the Tower after clearing the runway to report what happened; and asked to taxi to parking below the Tower to check out the aircraft. Tower contacted ZZZ ground crew; which drove to check the runway and found a broken light cover on one of the runway lights; which they quickly cleaned up and replaced. The light post and its bulb were undamaged. One of the ground crew drove over to me; introduced himself; told me what they'd found; and took down my contact info; saying someone might be in touch - but the damage was very minor.After getting out to inspect the plane; I reported that there seemed to be no damage to the airplane; restarted; and received clearance from ZZZ Ground to taxi back to parking.I called the Flying Club offices several times to try to report the incident; but finally had to leave a message. I then called my most recent instructor to let him know and request advice for anything further I needed to do.I'm filing a report; and am waiting further instructions & info from [Flying Club] & the airport.