792972 has 18 divisors (see below), whose sum is σ = 2004548. Its totient is φ = 264312.

The previous prime is 792959. The next prime is 792973. The reversal of 792972 is 279297.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 22027 = 792972 / (7 + 9 + 2 + 9 + 7 + 2).

It is an Ulam number.

792972 is a modest number, since divided by 972 gives 792 as remainder.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 792972.

It is not an unprimeable number, because it can be changed into a prime (792973) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10978 + ... + 11049.

2⁷⁹²⁹⁷² is an apocalyptic number.

It is an amenable number.

792972 is an abundant number, since it is smaller than the sum of its proper divisors (1211576).

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

792972 is a wasteful number, since it uses less digits than its factorization.

792972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22037 (or 22032 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 792972 is about 890.4897528888. The cubic root of 792972 is about 92.5591343331.

It can be divided in two parts, 7929 and 72, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 792972 in words is "seven hundred ninety-two thousand, nine hundred seventy-two".