112625920 has 144 divisors (see below), whose sum is σ = 310524480. Its totient is φ = 38707200.

The previous prime is 112625911. The next prime is 112626011. The reversal of 112625920 is 29526211.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267310 + ... + 267730.

It is an arithmetic number, because the mean of its divisors is an integer number (2156420).

Almost surely, 2^112625920 is an apocalyptic number.

112625920 is a gapful number since it is divisible by the number (10) 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 112625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155262240).

112625920 is an abundant number, since it is smaller than the sum of its proper divisors (197898560).

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

112625920 is a wasteful number, since it uses less digits than its factorization.

112625920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 112625920 is about 10612.5359834490. The cubic root of 112625920 is about 482.9247354029.

The spelling of 112625920 in words is "one hundred twelve million, six hundred twenty-five thousand, nine hundred twenty".