72791712 has 72 divisors (see below), whose sum is σ = 236579616. Its totient is φ = 20797056.

The previous prime is 72791707. The next prime is 72791729. The reversal of 72791712 is 21719727.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16038 + ... + 20069.

It is an arithmetic number, because the mean of its divisors is an integer number (3285828).

Almost surely, 2^72791712 is an apocalyptic number.

72791712 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72791712 is an abundant number, since it is smaller than the sum of its proper divisors (163787904).

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

72791712 is a wasteful number, since it uses less digits than its factorization.

72791712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36130 (or 36119 counting only the distinct ones).

The product of its digits is 12348, while the sum is 36.

The square root of 72791712 is about 8531.8059049653. The cubic root of 72791712 is about 417.5360495722.

The spelling of 72791712 in words is "seventy-two million, seven hundred ninety-one thousand, seven hundred twelve".