112972 has 12 divisors (see below), whose sum is σ = 201376. Its totient is φ = 55440.

The previous prime is 112967. The next prime is 112979. The reversal of 112972 is 279211.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (112979) 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, 13 + ... + 475.

2¹¹²⁹⁷² is an apocalyptic number.

It is an amenable number.

112972 is a deficient number, since it is larger than the sum of its proper divisors (88404).

112972 is a wasteful number, since it uses less digits than its factorization.

112972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 526 counting only the distinct ones).

The product of its digits is 252, while the sum is 22.

The square root of 112972 is about 336.1130762110. The cubic root of 112972 is about 48.3418877711.

The spelling of 112972 in words is "one hundred twelve thousand, nine hundred seventy-two".