72782916 has 72 divisors (see below), whose sum is σ = 186498816. Its totient is φ = 22064640.

The previous prime is 72782893. The next prime is 72782929. The reversal of 72782916 is 61928727.

It is a super-2 number, since 2×72782916² = 10594705722926112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107170 + ... + 107846.

Almost surely, 2^72782916 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 72782916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93249408).

72782916 is an abundant number, since it is smaller than the sum of its proper divisors (113715900).

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

72782916 is a wasteful number, since it uses less digits than its factorization.

72782916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 730 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 72782916 is about 8531.2904064977. The cubic root of 72782916 is about 417.5192308304.

The spelling of 72782916 in words is "seventy-two million, seven hundred eighty-two thousand, nine hundred sixteen".