A rectangular number sequence is the sequence of numbers of counters needed to construct a sequence of rectangles, where the dimensions of the sides of the rectangles are whole numbers and change in a regular way.
The individual sequences representing the sides are usually arithmetic progressions, but could in principle be given by difference equations, geometric progressions, or functions of the dimensions of the sides of previous rectangles in the sequence.
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72 is rectangular.
3354435543 is a single number, it is not a sequence.3354435543 is a single number, it is not a sequence.3354435543 is a single number, it is not a sequence.3354435543 is a single number, it is not a sequence.
If you define a rectangular number as a number which is the product of two consecutive integers, none of them qualify.
No
25 is a square number. Some people maintain that that makes it rectangular; others disagree.