72536868 has 36 divisors (see below), whose sum is σ = 183799980. Its totient is φ = 24120576.

The previous prime is 72536843. The next prime is 72536873. The reversal of 72536868 is 86863527.

It can be written as a sum of positive squares in 2 ways, for example, as 32695524 + 39841344 = 5718^2 + 6312^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14248 + ... + 18656.

It is an arithmetic number, because the mean of its divisors is an integer number (5105555).

Almost surely, 2^72536868 is an apocalyptic number.

It is an amenable number.

72536868 is an abundant number, since it is smaller than the sum of its proper divisors (111263112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72536868 is a wasteful number, since it uses less digits than its factorization.

72536868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4876 (or 4871 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 72536868 is about 8516.8578713044. The cubic root of 72536868 is about 417.0482148415.

The spelling of 72536868 in words is "seventy-two million, five hundred thirty-six thousand, eight hundred sixty-eight".