72907536 has 80 divisors (see below), whose sum is σ = 209431040. Its totient is φ = 21703680.

The previous prime is 72907519. The next prime is 72907609. The reversal of 72907536 is 63570927.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 72907494 and 72907503.

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 15 ways as a sum of consecutive naturals, for example, 17460 + ... + 21228.

It is an arithmetic number, because the mean of its divisors is an integer number (2617888).

Almost surely, 2^72907536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72907536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104715520).

72907536 is an abundant number, since it is smaller than the sum of its proper divisors (136523504).

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

72907536 is a wasteful number, since it uses less digits than its factorization.

72907536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3824 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 39.

The square root of 72907536 is about 8538.5909844658. The cubic root of 72907536 is about 417.7573891849.

The spelling of 72907536 in words is "seventy-two million, nine hundred seven thousand, five hundred thirty-six".