Both coolers side by side look very similar as they share the same packaging essentially. Both the 560D and the 570D are denoted with a sticker labelled 1156 which means simply that these coolers come with LGA1156 mounting only.
While the package shows compatibility for both LGA775 and AMD sockets, with only one back plate and the lack of hardware, I assure you the 130W or less LGA1156 processors are all you are going to be mounting this cooler to.
Four features are listed to the right of images of the cooler to the left of both boxes.
The specifications of both coolers are very similar, except for two points. The fin material changes between the two models, and because copper weighs more than aluminum, the weight of the ZT-570D is a bit more than the ZT-560D.