Nikon D7500 has a Nikon F lens mount and currently there are 316 native lenses available for this mount.
The latest released lenses that are compatible with the D7500 are the Nikon Micro-60mm f2.8D, the Carl Zeiss Makro-Planar T2/50 and the Tokina 35mm f2.8 Macro DX.
Nikon D7500 doesn't have a sensor based image stabilization system but 107 of these lenses already comes with optical image stabilization.
Since Nikon D7500 has a APS-C sensor, it has a focal length multiplier of 1.5x so you have to multiply lenses original focal length with this multiplier to find the Full Frame equivalent focal length of the lens when mounted on D7500.
You may also also be interested in these:
Nikon D7500 Lenses with Image Stabilization
Nikon D7500 Lenses with Weather Sealings