It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 40 072 is not a prime number.
For example, 40 072 can be divided by 2: 40 072 / 2 = 20 036.
For 40 072 to be a prime number, it would have been required that 40 072 has only two divisors, i.e., itself and 1.
Find out more:
40 072 is an even number, because it is evenly divisible by 2: 40 072 / 2 = 20 036.
Find out more:
A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 40 072 is about 200.180.
Thus, the square root of 40 072 is not an integer, and therefore 40 072 is not a square number.
The square of a number (here 40 072) is the result of the product of this number (40 072) by itself (i.e., 40 072 × 40 072); the square of 40 072 is sometimes called "raising 40 072 to the power 2", or "40 072 squared".
The square of 40 072 is 1 605 765 184 because 40 072 × 40 072 = 40 0722 = 1 605 765 184.
As a consequence, 40 072 is the square root of 1 605 765 184.
The multiples of 40 072 are all integers evenly divisible by 40 072, that is all numbers such that the remainder of the division by 40 072 is zero. There are infinitely many multiples of 40 072. The smallest multiples of 40 072 are: