Is 72673 a prime number?

72 673 is an odd number, because it is not evenly divisible by 2.

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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 72 673 is about 269.579.

Thus, the square root of 72 673 is not an integer, and therefore 72 673 is not a square number.

Anyway, 72 673 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 72 673) is the result of the product of this number (72 673) by itself (i.e., 72 673 × 72 673); the square of 72 673 is sometimes called "raising 72 673 to the power 2", or "72 673 squared".

The square of 72 673 is 5 281 364 929 because 72 673 × 72 673 = 72 673² = 5 281 364 929.

As a consequence, 72 673 is the square root of 5 281 364 929.

72 673 is a number with 5 digits.

The multiples of 72 673 are all integers evenly divisible by 72 673, that is all numbers such that the remainder of the division by 72 673 is zero. There are infinitely many multiples of 72 673. The smallest multiples of 72 673 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 72 673 too, since 0 × 72 673 = 0
• 72 673: indeed, 72 673 is a multiple of itself, since 72 673 is evenly divisible by 72 673 (we have 72 673 / 72 673 = 1, so the remainder of this division is indeed zero)
• 145 346: indeed, 145 346 = 72 673 × 2
• 218 019: indeed, 218 019 = 72 673 × 3
• 290 692: indeed, 290 692 = 72 673 × 4
• 363 365: indeed, 363 365 = 72 673 × 5
• etc.

• Preceding numbers: …72 671, 72 672
• Following numbers: 72 674, 72 675…

Nearest numbers from 72 673

• Preceding prime number: 72 671
• Following prime number: 72 679

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• 72 673 est-il un nombre premier ?