112832 has 28 divisors (see below), whose sum is σ = 234696. Its totient is φ = 53760.

The previous prime is 112831. The next prime is 112843. The reversal of 112832 is 238211.

112832 is nontrivially palindromic in base 7.

It is an Ulam number.

Its product of digits (96) is a multiple of the sum of its prime factors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 112832.

It is not an unprimeable number, because it can be changed into a prime (112831) 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, 2603 + ... + 2645.

It is an arithmetic number, because the mean of its divisors is an integer number (8382).

2¹¹²⁸³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117348).

112832 is an abundant number, since it is smaller than the sum of its proper divisors (121864).

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

112832 is an equidigital number, since it uses as much as digits as its factorization.

112832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 86 counting only the distinct ones).

The product of its digits is 96, while the sum is 17.

The square root of 112832 is about 335.9047484035. The cubic root of 112832 is about 48.3219103670.

The spelling of 112832 in words is "one hundred twelve thousand, eight hundred thirty-two".