123972 has 12 divisors (see below), whose sum is σ = 289296. Its totient is φ = 41320.

The previous prime is 123953. The next prime is 123973. The reversal of 123972 is 279321.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (123973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5154 + ... + 5177.

It is an arithmetic number, because the mean of its divisors is an integer number (24108).

2¹²³⁹⁷² is an apocalyptic number.

123972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123972 is an abundant number, since it is smaller than the sum of its proper divisors (165324).

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

123972 is a wasteful number, since it uses less digits than its factorization.

123972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10338 (or 10336 counting only the distinct ones).

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

The square root of 123972 is about 352.0965776602. The cubic root of 123972 is about 49.8625558617.

The spelling of 123972 in words is "one hundred twenty-three thousand, nine hundred seventy-two".