972792 has 48 divisors (see below), whose sum is σ = 2691000. Its totient is φ = 317376.

The previous prime is 972787. The next prime is 972793. The reversal of 972792 is 297279.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972792.

It is not an unprimeable number, because it can be changed into a prime (972793) by changing a digit.

972792 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4134 + ... + 4362.

2⁹⁷²⁷⁹² 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 972792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345500).

972792 is an abundant number, since it is smaller than the sum of its proper divisors (1718208).

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

972792 is a wasteful number, since it uses less digits than its factorization.

972792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 293 counting only the distinct ones).

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

The square root of 972792 is about 986.3021849312. The cubic root of 972792 is about 99.0847147551.

It can be divided in two parts, 972 and 792, that added together give a square (1764 = 42²).

The spelling of 972792 in words is "nine hundred seventy-two thousand, seven hundred ninety-two".