That is a 1973 model dryer. Probably stock number 73621 ? If electric it would be 63621. Model number should be something like 110.7307621 (or 622, 623, etc. depeding on how late it was built).
This is actually a 60-series machine, and was well up the ladder of models. Having an auto-dry cycle was a big feature back then. Better dryers added wrinkle guard, cycle signal adjustment switches, drum lights and lighted consoles, but nothing major that I can think of that really did a lot for the usefulness of the machine.
This family of washers and dryers were some of Kenmore's first units with easy-access consoles, that could be opened for servicing and repair without moving the entire machine to access the rear panel and screws. This was a great time saving design, though I know many thought the plastic panel was cheap.
There was a 1975 version of this dryer, in fact the only way to tell them apart externally is to look at the woodgrain pattern - the 73's is vertical, the 75's is horizontal. Don't ask me why Sears made a new model with just that as a difference, but they did.
Neat dryer. Other models in this 'plastic top' family back then lacked the woodgrain, and had only timed settings but a heat adjustment selector. Another model had white knobs but did have the auto-dry. There was a large capacity version in 1974. Some of these were huge sellers for Sears until 1976 or so.
Gordon