72564917 has 4 divisors (see below), whose sum is σ = 72588480. Its totient is φ = 72541356.

The previous prime is 72564907. The next prime is 72564923. The reversal of 72564917 is 71946527.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 72564917 - 2⁴ = 72564901 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72564907) 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 in 3 ways as a sum of consecutive naturals, for example, 6317 + ... + 13602.

It is an arithmetic number, because the mean of its divisors is an integer number (18147120).

Almost surely, 2^72564917 is an apocalyptic number.

It is an amenable number.

72564917 is a deficient number, since it is larger than the sum of its proper divisors (23563).

72564917 is a wasteful number, since it uses less digits than its factorization.

72564917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23562.

The product of its digits is 105840, while the sum is 41.

The square root of 72564917 is about 8518.5043875084. The cubic root of 72564917 is about 417.1019634994.

The spelling of 72564917 in words is "seventy-two million, five hundred sixty-four thousand, nine hundred seventeen".