72916792 has 32 divisors (see below), whose sum is σ = 148024800. Its totient is φ = 33473664.

The previous prime is 72916783. The next prime is 72916799. The reversal of 72916792 is 29761927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72916799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18709 + ... + 22267.

It is an arithmetic number, because the mean of its divisors is an integer number (4625775).

Almost surely, 2^72916792 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 72916792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74012400).

72916792 is an abundant number, since it is smaller than the sum of its proper divisors (75108008).

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

72916792 is a wasteful number, since it uses less digits than its factorization.

72916792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3775 (or 3771 counting only the distinct ones).

The product of its digits is 95256, while the sum is 43.

The square root of 72916792 is about 8539.1329770651. The cubic root of 72916792 is about 417.7750672787.

The spelling of 72916792 in words is "seventy-two million, nine hundred sixteen thousand, seven hundred ninety-two".