72949536 has 72 divisors (see below), whose sum is σ = 226319184. Its totient is φ = 22104960.

The previous prime is 72949517. The next prime is 72949549. The reversal of 72949536 is 63594927.

It is a happy number.

72949536 is a `hidden beast` number, since 72 + 9 + 49 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 72949491 and 72949500.

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, 8346 + ... + 14681.

It is an arithmetic number, because the mean of its divisors is an integer number (3143322).

Almost surely, 2^72949536 is an apocalyptic number.

It is an amenable number.

72949536 is an abundant number, since it is smaller than the sum of its proper divisors (153369648).

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

72949536 is a wasteful number, since it uses less digits than its factorization.

72949536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23054 (or 23043 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 72949536 is about 8541.0500525404. The cubic root of 72949536 is about 417.8375932496.

The spelling of 72949536 in words is "seventy-two million, nine hundred forty-nine thousand, five hundred thirty-six".