72985136 has 40 divisors (see below), whose sum is σ = 162084864. Its totient is φ = 31187520.

The previous prime is 72985123. The next prime is 72985139. The reversal of 72985136 is 63158927.

It is a junction number, because it is equal to n+sod(n) for n = 72985093 and 72985102.

It is not an unprimeable number, because it can be changed into a prime (72985139) 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, 48881 + ... + 50351.

Almost surely, 2^72985136 is an apocalyptic number.

It is an amenable number.

72985136 is an abundant number, since it is smaller than the sum of its proper divisors (89099728).

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

72985136 is a wasteful number, since it uses less digits than its factorization.

72985136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1923 counting only the distinct ones).

The product of its digits is 90720, while the sum is 41.

The square root of 72985136 is about 8543.1338512281. The cubic root of 72985136 is about 417.9055516406.

The spelling of 72985136 in words is "seventy-two million, nine hundred eighty-five thousand, one hundred thirty-six".