792072 has 64 divisors (see below), whose sum is σ = 2328000. Its totient is φ = 248832.

The previous prime is 792067. The next prime is 792073. The reversal of 792072 is 270297.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (792073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4008 + ... + 4200.

It is an arithmetic number, because the mean of its divisors is an integer number (36375).

2⁷⁹²⁰⁷² is an apocalyptic number.

792072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 792072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164000).

792072 is an abundant number, since it is smaller than the sum of its proper divisors (1535928).

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

792072 is a wasteful number, since it uses less digits than its factorization.

792072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 792072 is about 889.9842695239. The cubic root of 792072 is about 92.5241037745.

The spelling of 792072 in words is "seven hundred ninety-two thousand, seventy-two".