72910680 has 64 divisors (see below), whose sum is σ = 221529600. Its totient is φ = 19194240.

The previous prime is 72910661. The next prime is 72910699. The reversal of 72910680 is 8601927.

It is an interprime number because it is at equal distance from previous prime (72910661) and next prime (72910699).

It is a congruent number.

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, 5635 + ... + 13325.

It is an arithmetic number, because the mean of its divisors is an integer number (3461400).

Almost surely, 2^72910680 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 72910680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110764800).

72910680 is an abundant number, since it is smaller than the sum of its proper divisors (148618920).

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

72910680 is a wasteful number, since it uses less digits than its factorization.

72910680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7784 (or 7780 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 72910680 is about 8538.7750877980. The cubic root of 72910680 is about 417.7633940985.

The spelling of 72910680 in words is "seventy-two million, nine hundred ten thousand, six hundred eighty".