123792 has 20 divisors (see below), whose sum is σ = 319920. Its totient is φ = 41248.

The previous prime is 123791. The next prime is 123803. The reversal of 123792 is 297321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (123791) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1242 + ... + 1337.

It is an arithmetic number, because the mean of its divisors is an integer number (15996).

2¹²³⁷⁹² is an apocalyptic number.

123792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123792 is an abundant number, since it is smaller than the sum of its proper divisors (196128).

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

123792 is a wasteful number, since it uses less digits than its factorization.

123792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 2584 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 123792 is about 351.8408731231. The cubic root of 123792 is about 49.8384116802.

The spelling of 123792 in words is "one hundred twenty-three thousand, seven hundred ninety-two".