120792 has 32 divisors (see below), whose sum is σ = 345600. Its totient is φ = 34464.

The previous prime is 120779. The next prime is 120811. The reversal of 120792 is 297021.

120792 = 3⁵ + 4⁵ + ... + 9⁵.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable 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, 192 + ... + 527.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2¹²⁰⁷⁹² is an apocalyptic number.

120792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120792 is an abundant number, since it is smaller than the sum of its proper divisors (224808).

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

120792 is a wasteful number, since it uses less digits than its factorization.

120792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 120792 is about 347.5514350424. The cubic root of 120792 is about 49.4325169601.

The spelling of 120792 in words is "one hundred twenty thousand, seven hundred ninety-two".