T?he Russians claimed to have shot down over 70 missiles.
The Syrians made that claim. They always claim their heroic forces defended their bases and they shot down all the incoming missiles. There was plenty of video of a few missiles being fired, but no intercepts occurred. A well planned strike by modern cruise missiles is very hard to defend against, particularly when the planners have good intel on the defenses.
During the first Gulf War, we were firing some Tomahawks with little or insufficient planning for defenses and terrain, sometimes because they were "quick-draw" targets with no time to plan. A few were shot down and folks assumed they must be easy targets. Obviously, that is not the case. Russia and Syria are learning that this old dog can still hunt.
Those were obsolescent Buk, Tor, and S-200 systems. They were launched after the strike. The count is not believable.