112872096 has 48 divisors (see below), whose sum is σ = 329212800. Its totient is φ = 37623744.

The previous prime is 112872083. The next prime is 112872157. The reversal of 112872096 is 690278211.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×112872096² = 25480220110866432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 112872096.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64456 + ... + 66183.

It is an arithmetic number, because the mean of its divisors is an integer number (6858600).

Almost surely, 2^112872096 is an apocalyptic number.

112872096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

112872096 is an abundant number, since it is smaller than the sum of its proper divisors (216340704).

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

112872096 is a wasteful number, since it uses less digits than its factorization.

112872096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130658 (or 130644 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 112872096 is about 10624.1280112770. The cubic root of 112872096 is about 483.2763358339.

The spelling of 112872096 in words is "one hundred twelve million, eight hundred seventy-two thousand, ninety-six".