Is 37728 a prime number?

37 728 is an even number, because it is evenly divisible by 2: 37 728 / 2 = 18 864.

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• What is an even number?

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 37 728 is about 194.237.

Thus, the square root of 37 728 is not an integer, and therefore 37 728 is not a square number.

The square of a number (here 37 728) is the result of the product of this number (37 728) by itself (i.e., 37 728 × 37 728); the square of 37 728 is sometimes called "raising 37 728 to the power 2", or "37 728 squared".

The square of 37 728 is 1 423 401 984 because 37 728 × 37 728 = 37 728² = 1 423 401 984.

As a consequence, 37 728 is the square root of 1 423 401 984.

37 728 is a number with 5 digits.

The multiples of 37 728 are all integers evenly divisible by 37 728, that is all numbers such that the remainder of the division by 37 728 is zero. There are infinitely many multiples of 37 728. The smallest multiples of 37 728 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 37 728 too, since 0 × 37 728 = 0
• 37 728: indeed, 37 728 is a multiple of itself, since 37 728 is evenly divisible by 37 728 (we have 37 728 / 37 728 = 1, so the remainder of this division is indeed zero)
• 75 456: indeed, 75 456 = 37 728 × 2
• 113 184: indeed, 113 184 = 37 728 × 3
• 150 912: indeed, 150 912 = 37 728 × 4
• 188 640: indeed, 188 640 = 37 728 × 5
• etc.

• Preceding numbers: …37 726, 37 727
• Following numbers: 37 729, 37 730…

Nearest numbers from 37 728

• Preceding prime number: 37 717
• Following prime number: 37 747

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• 37 728 est-il un nombre premier ?