112756032 has 84 divisors (see below), whose sum is σ = 340238080. Its totient is φ = 35603712.

The previous prime is 112755991. The next prime is 112756043. The reversal of 112756032 is 230657211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112755987 and 112756005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5793 + ... + 16095.

Almost surely, 2^112756032 is an apocalyptic number.

112756032 is a gapful number since it is divisible by the number (12) 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 112756032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170119040).

112756032 is an abundant number, since it is smaller than the sum of its proper divisors (227482048).

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

112756032 is a wasteful number, since it uses less digits than its factorization.

112756032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10340 (or 10327 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 112756032 is about 10618.6643227856. The cubic root of 112756032 is about 483.1106313970.

The spelling of 112756032 in words is "one hundred twelve million, seven hundred fifty-six thousand, thirty-two".