112963752 has 192 divisors, whose sum is σ = 355829760. Its totient is φ = 32054400.

The previous prime is 112963751. The next prime is 112963801. The reversal of 112963752 is 257369211.

112963752 is a `hidden beast` number, since 1 + 12 + 9 + 637 + 5 + 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 (112963751) 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, 1055683 + ... + 1055789.

It is an arithmetic number, because the mean of its divisors is an integer number (1853280).

Almost surely, 2^112963752 is an apocalyptic number.

112963752 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 112963752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177914880).

112963752 is an abundant number, since it is smaller than the sum of its proper divisors (242866008).

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

112963752 is a wasteful number, since it uses less digits than its factorization.

112963752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 197 counting only the distinct ones).

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

The square root of 112963752 is about 10628.4407134819. The cubic root of 112963752 is about 483.4071127430.

The spelling of 112963752 in words is "one hundred twelve million, nine hundred sixty-three thousand, seven hundred fifty-two".