Smooth as silk night with a full moon during NVFR training in a C172 and cleared direct to ML from the N on the way back to MB. As we get near, a VOZ 737 departs and climbs to 1000 FT underneath us, reaching its level not more than a mile ahead of us. Watched it all the way until it disappeared under the dash and almost did my neck turning to watch it though the back window as it climbed up through our level.