112705632 has 72 divisors (see below), whose sum is σ = 345172464. Its totient is φ = 34677504.

The previous prime is 112705603. The next prime is 112705633. The reversal of 112705632 is 236507211.

It is a happy number.

112705632 is a `hidden beast` number, since 1 + 1 + 27 + 0 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 112705596 and 112705605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112705633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11308 + ... + 18795.

It is an arithmetic number, because the mean of its divisors is an integer number (4794062).

Almost surely, 2^112705632 is an apocalyptic number.

112705632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112705632 is an abundant number, since it is smaller than the sum of its proper divisors (232466832).

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

112705632 is a wasteful number, since it uses less digits than its factorization.

112705632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30132 (or 30121 counting only the distinct ones).

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

The square root of 112705632 is about 10616.2908777030. The cubic root of 112705632 is about 483.0386399652.

The spelling of 112705632 in words is "one hundred twelve million, seven hundred five thousand, six hundred thirty-two".