72868032 has 56 divisors (see below), whose sum is σ = 214223600. Its totient is φ = 24288768.

The previous prime is 72868031. The next prime is 72868043. The reversal of 72868032 is 23086827.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72868031) 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, 19357 + ... + 22812.

Almost surely, 2^72868032 is an apocalyptic number.

72868032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72868032 is an abundant number, since it is smaller than the sum of its proper divisors (141355568).

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

72868032 is a wasteful number, since it uses less digits than its factorization.

72868032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42190 (or 42174 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 72868032 is about 8536.2774088006. The cubic root of 72868032 is about 417.6819234175.

The spelling of 72868032 in words is "seventy-two million, eight hundred sixty-eight thousand, thirty-two".