Currently there are 32 native Standard Zoom lenses for Nikon D7500 and all of these lenses are autofocus (AF) type.
Nikon D7500 doesn't have a sensor based image stabilization system but 17 of these Standard Zoom lenses features optical image stabilization.
Since Nikon D7500 has environmental sealings (Weather Sealing), you may like to couple your camera with one of these 9 Standard Zoom lenses with Weather Sealings.