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72364717 is a prime number
BaseRepresentation
bin1000101000000…
…11001010101101
312001011111201201
410110003022231
5122011132332
611103005501
71536042565
oct424031255
9161144651
1072364717
1137936757
1220299891
1311cb8c79
149879da5
1565465e7
hex45032ad

72364717 has 2 divisors, whose sum is σ = 72364718. Its totient is φ = 72364716.

The previous prime is 72364679. The next prime is 72364729. The reversal of 72364717 is 71746327.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66357316 + 6007401 = 8146^2 + 2451^2 .

It is a cyclic number.

It is not a de Polignac number, because 72364717 - 219 = 71840429 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72364517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36182358 + 36182359.

It is an arithmetic number, because the mean of its divisors is an integer number (36182359).

Almost surely, 272364717 is an apocalyptic number.

It is an amenable number.

72364717 is a deficient number, since it is larger than the sum of its proper divisors (1).

72364717 is an equidigital number, since it uses as much as digits as its factorization.

72364717 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 49392, while the sum is 37.

The square root of 72364717 is about 8506.7453823422. The cubic root of 72364717 is about 416.7180280863.

The spelling of 72364717 in words is "seventy-two million, three hundred sixty-four thousand, seven hundred seventeen".