112638720 has 72 divisors (see below), whose sum is σ = 359752176. Its totient is φ = 30035968.

The previous prime is 112638709. The next prime is 112638733. The reversal of 112638720 is 27836211.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10827 + ... + 18506.

It is an arithmetic number, because the mean of its divisors is an integer number (4996558).

Almost surely, 2^112638720 is an apocalyptic number.

112638720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112638720 is an abundant number, since it is smaller than the sum of its proper divisors (247113456).

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

112638720 is an equidigital number, since it uses as much as digits as its factorization.

112638720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29357 (or 29343 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 112638720 is about 10613.1390266970. The cubic root of 112638720 is about 482.9430296003.

The spelling of 112638720 in words is "one hundred twelve million, six hundred thirty-eight thousand, seven hundred twenty".