72536657 has 8 divisors (see below), whose sum is σ = 74511360. Its totient is φ = 70575120.

The previous prime is 72536609. The next prime is 72536677. The reversal of 72536657 is 75663527.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72536657 - 2²² = 68342353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72536677) 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 7 ways as a sum of consecutive naturals, for example, 8432 + ... + 14702.

It is an arithmetic number, because the mean of its divisors is an integer number (9313920).

Almost surely, 2^72536657 is an apocalyptic number.

It is an amenable number.

72536657 is a deficient number, since it is larger than the sum of its proper divisors (1974703).

72536657 is a wasteful number, since it uses less digits than its factorization.

72536657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6583.

The product of its digits is 264600, while the sum is 41.

The square root of 72536657 is about 8516.8454840980. The cubic root of 72536657 is about 417.0478104620.

The spelling of 72536657 in words is "seventy-two million, five hundred thirty-six thousand, six hundred fifty-seven".