72572417 has 2 divisors, whose sum is σ = 72572418. Its totient is φ = 72572416.

The previous prime is 72572399. The next prime is 72572441. The reversal of 72572417 is 71427527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71893441 + 678976 = 8479^2 + 824^2 .

It is an emirp because it is prime and its reverse (71427527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72572417 - 2¹⁶ = 72506881 is a prime.

It is not a weakly prime, because it can be changed into another prime (72572477) 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, 36286208 + 36286209.

It is an arithmetic number, because the mean of its divisors is an integer number (36286209).

Almost surely, 2^72572417 is an apocalyptic number.

It is an amenable number.

72572417 is a deficient number, since it is larger than the sum of its proper divisors (1).

72572417 is an equidigital number, since it uses as much as digits as its factorization.

72572417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27440, while the sum is 35.

The square root of 72572417 is about 8518.9445942558. The cubic root of 72572417 is about 417.1163329637.

The spelling of 72572417 in words is "seventy-two million, five hundred seventy-two thousand, four hundred seventeen".