Rational numbers, real numbers and complex numbers to start with. Also the set of all numbers.
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The extended set of natural numbers, or the non-negative integers.
All of the natural numbers.
If N is the set of natural numbers, and the set of whole numbers (integers) is Z, you should be aware that Z also includes negatives and zero, whereas N does not include either of these.
0 and negative integers are all whole numbers but they are not natural numbers.
The set of Natural Numbers is the set of 'counting numbers' {1,2,3,4,....}. All of them are also real numbers.