125792 has 12 divisors (see below), whose sum is σ = 247716. Its totient is φ = 62880.

The previous prime is 125791. The next prime is 125803. The reversal of 125792 is 297521.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

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 125792.

It is not an unprimeable number, because it can be changed into a prime (125791) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1934 + ... + 1997.

It is an arithmetic number, because the mean of its divisors is an integer number (20643).

2¹²⁵⁷⁹² is an apocalyptic number.

It is an amenable number.

125792 is a deficient number, since it is larger than the sum of its proper divisors (121924).

125792 is an equidigital number, since it uses as much as digits as its factorization.

125792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941 (or 3933 counting only the distinct ones).

The product of its digits is 1260, while the sum is 26.

The square root of 125792 is about 354.6716791626. The cubic root of 125792 is about 50.1053777546.

The spelling of 125792 in words is "one hundred twenty-five thousand, seven hundred ninety-two".