392772 has 24 divisors (see below), whose sum is σ = 931392. Its totient is φ = 128800.

The previous prime is 392767. The next prime is 392803. The reversal of 392772 is 277293.

392772 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

392772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 622 + ... + 1082.

It is an arithmetic number, because the mean of its divisors is an integer number (38808).

2³⁹²⁷⁷² is an apocalyptic number.

It is an amenable number.

392772 is an abundant number, since it is smaller than the sum of its proper divisors (538620).

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

392772 is a wasteful number, since it uses less digits than its factorization.

392772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 537 counting only the distinct ones).

The product of its digits is 5292, while the sum is 30.

The square root of 392772 is about 626.7152463440. The cubic root of 392772 is about 73.2341266416.

The spelling of 392772 in words is "three hundred ninety-two thousand, seven hundred seventy-two".