72802920 has 64 divisors (see below), whose sum is σ = 222549120. Its totient is φ = 19046144.

The previous prime is 72802883. The next prime is 72802931. The reversal of 72802920 is 2920827.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 637 + ... + 12083.

It is an arithmetic number, because the mean of its divisors is an integer number (3477330).

Almost surely, 2^72802920 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 72802920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111274560).

72802920 is an abundant number, since it is smaller than the sum of its proper divisors (149746200).

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

72802920 is a wasteful number, since it uses less digits than its factorization.

72802920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11514 (or 11510 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 72802920 is about 8532.4627160041. The cubic root of 72802920 is about 417.5574783116.

The spelling of 72802920 in words is "seventy-two million, eight hundred two thousand, nine hundred twenty".