112634172 has 96 divisors (see below), whose sum is σ = 335462400. Its totient is φ = 32014656.

The previous prime is 112634167. The next prime is 112634201. The reversal of 112634172 is 271436211.

112634172 is a `hidden beast` number, since 1 + 12 + 634 + 17 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289354 + ... + 289742.

It is an arithmetic number, because the mean of its divisors is an integer number (3494400).

Almost surely, 2^112634172 is an apocalyptic number.

112634172 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 112634172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167731200).

112634172 is an abundant number, since it is smaller than the sum of its proper divisors (222828228).

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

112634172 is a wasteful number, since it uses less digits than its factorization.

112634172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 784 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 112634172 is about 10612.9247618175. The cubic root of 112634172 is about 482.9365296020.

The spelling of 112634172 in words is "one hundred twelve million, six hundred thirty-four thousand, one hundred seventy-two".