112881792 has 64 divisors (see below), whose sum is σ = 312903360. Its totient is φ = 35988480.

The previous prime is 112881787. The next prime is 112881799. The reversal of 112881792 is 297188211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 112881792.

It is not an unprimeable number, because it can be changed into a prime (112881799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2442 + ... + 15222.

It is an arithmetic number, because the mean of its divisors is an integer number (4889115).

Almost surely, 2^112881792 is an apocalyptic number.

112881792 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 112881792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156451680).

112881792 is an abundant number, since it is smaller than the sum of its proper divisors (200021568).

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

112881792 is a wasteful number, since it uses less digits than its factorization.

112881792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12821 (or 12809 counting only the distinct ones).

The product of its digits is 16128, while the sum is 39.

The square root of 112881792 is about 10624.5843212805. The cubic root of 112881792 is about 483.2901736597.

The spelling of 112881792 in words is "one hundred twelve million, eight hundred eighty-one thousand, seven hundred ninety-two".