In most of the rest of the world (Europe, Asia, Africa) powers up to 2,000,000 watts on Medium Wave (what we incorrectly call "AM" in the Americas) are common, although most such stations are government operated and are slowly disappearing.
Shortwave has two kinds of service: local/regional on frequencies around 6 MHz or below with powers in the 250 watt to 10 kw range usually and international with powers up to a million watts. Most of those are also gone.
Any kind of amplitude modulated radio today is obsolete. It is subject to man-made noise and usually has limited quality compared to FM, HD, DAB, etc. That is why in many nations, from Mexico to Switzerland, "AM" has been eliminated or significantly phased out.