A projection zoom lens includes: a first lens group that has a negative refractive power, is fixed when power varies, and has a focusing function; a second positive lens group; a third positive lens group; a fourth negative lens group; a fifth positive lens group; and a sixth lens group that has a positive refractive power, is fixed when power varies, and includes an aperture diaphragm arranged closest to a magnification side. The first to sixth lens groups are arranged in this order from the magnification side, and the second to fifth lens groups are moved when power varies. All lenses are single lenses. The ratio of the back focal length Bf of the entire system to the focal length f of the entire system at a wide angle end is more than 2.5. The Fno. is constant in the entire power variation range.