112875280 has 80 divisors (see below), whose sum is σ = 301302144. Its totient is φ = 38522880.

The previous prime is 112875253. The next prime is 112875289. The reversal of 112875280 is 82578211.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (112875289) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 197395 + ... + 197965.

Almost surely, 2^112875280 is an apocalyptic number.

112875280 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 112875280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150651072).

112875280 is an abundant number, since it is smaller than the sum of its proper divisors (188426864).

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

112875280 is a wasteful number, since it uses less digits than its factorization.

112875280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 34.

The square root of 112875280 is about 10624.2778578123. The cubic root of 112875280 is about 483.2808800258.

The spelling of 112875280 in words is "one hundred twelve million, eight hundred seventy-five thousand, two hundred eighty".