72956808 has 128 divisors (see below), whose sum is σ = 221040000. Its totient is φ = 22208256.

The previous prime is 72956803. The next prime is 72956833. The reversal of 72956808 is 80865927.

It is not an unprimeable number, because it can be changed into a prime (72956803) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118710 + ... + 119322.

It is an arithmetic number, because the mean of its divisors is an integer number (1726875).

Almost surely, 2^72956808 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 72956808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110520000).

72956808 is an abundant number, since it is smaller than the sum of its proper divisors (148083192).

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

72956808 is a wasteful number, since it uses less digits than its factorization.

72956808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 72956808 is about 8541.4757507119. The cubic root of 72956808 is about 417.8514768838.

The spelling of 72956808 in words is "seventy-two million, nine hundred fifty-six thousand, eight hundred eight".