72536457 has 32 divisors (see below), whose sum is σ = 116858880. Its totient is φ = 39124800.

The previous prime is 72536447. The next prime is 72536459. The reversal of 72536457 is 75463527.

It is not a de Polignac number, because 72536457 - 2⁶ = 72536393 is a prime.

It is a super-2 number, since 2×72536457² = 10523075188225698, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72536459) 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 31 ways as a sum of consecutive naturals, for example, 37207 + ... + 39107.

It is an arithmetic number, because the mean of its divisors is an integer number (3651840).

Almost surely, 2^72536457 is an apocalyptic number.

It is an amenable number.

72536457 is a deficient number, since it is larger than the sum of its proper divisors (44322423).

72536457 is a wasteful number, since it uses less digits than its factorization.

72536457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013.

The product of its digits is 176400, while the sum is 39.

The square root of 72536457 is about 8516.8337426534. The cubic root of 72536457 is about 417.0474271633.

The spelling of 72536457 in words is "seventy-two million, five hundred thirty-six thousand, four hundred fifty-seven".