567 is a typo. The number is 576. And it's the number of lines containing picture in a PAL TV signal.
i means interlaced. The lines are sent in a sequence like 1,3,5,7.....575,2,4,6,8.....576
p means progressive. The lines are sent in a sequence like 1,2,3,4,5.....576.
Now, on a pixel-based TV like the Sony, the image is always displayed as 720p. Thats 720 lines progressive. It has to be. It's the only way this TV can make a picture.
So, starting out with (say) a PAL DVD, which has 576 interlaced lines on it, we have to get to 720 progressive before it appears on your screen.
So two processes occur: the number of lines is increased - called upscaling - and the sequence is altered from i to p.
You can do either or both of these processes in a DVD player. Such a DVD player might be described as upscaling and with a progressive output.
BUT: If you don't do these processes in the source, then the TV will do them for itself. It has to.
So, in other words, regardless of what you send down the wire, the TV displays 720p.
Why, then, you might ask, do people get all fanatical about upscaling progressive DVD players? Answer: because in some cases, the circuits in the DVD player are better at doing these processes than those in the TV. In such cases, the end result will be a better picture. But only if the source surpasses the TV.
The above is true for DVD and other standard TV/Video sources. As for games etc; the sources on these may well not be limited to standard PAL TV (576i) and may be capable of real, unconverted 720p output. Obviously, its going to be better to run with a signal that's having no conversion done to it.