112975632 has 240 divisors, whose sum is σ = 412259328. Its totient is φ = 28005120.

The previous prime is 112975631. The next prime is 112975657. The reversal of 112975632 is 236579211.

112975632 is a `hidden beast` number, since 1 + 1 + 2 + 97 + 563 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (112975631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254803 + ... + 255245.

Almost surely, 2^112975632 is an apocalyptic number.

112975632 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 112975632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206129664).

112975632 is an abundant number, since it is smaller than the sum of its proper divisors (299283696).

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

112975632 is a wasteful number, since it uses less digits than its factorization.

112975632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 489 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 112975632 is about 10628.9995766300. Note that the first 3 decimals coincide. The cubic root of 112975632 is about 483.4240582236.

The spelling of 112975632 in words is "one hundred twelve million, nine hundred seventy-five thousand, six hundred thirty-two".