112832000 has 160 divisors (see below), whose sum is σ = 294918624. Its totient is φ = 43008000.

The previous prime is 112831991. The next prime is 112832053. The reversal of 112832000 is 238211.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 112832000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2623979 + ... + 2624021.

Almost surely, 2^112832000 is an apocalyptic number.

112832000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147459312).

112832000 is an abundant number, since it is smaller than the sum of its proper divisors (182086624).

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

112832000 is an frugal number, since it uses more digits than its factorization.

112832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 91 counting only the distinct ones).

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

The square root of 112832000 is about 10622.2408182078. The cubic root of 112832000 is about 483.2191036700.

The spelling of 112832000 in words is "one hundred twelve million, eight hundred thirty-two thousand".