112759360 has 112 divisors (see below), whose sum is σ = 311627520. Its totient is φ = 38062080.

The previous prime is 112759349. The next prime is 112759411. The reversal of 112759360 is 63957211.

It is a tau number, because it is divible by the number of its divisors (112).

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, 158686 + ... + 159394.

Almost surely, 2^112759360 is an apocalyptic number.

112759360 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 112759360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155813760).

112759360 is an abundant number, since it is smaller than the sum of its proper divisors (198868160).

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

112759360 is an equidigital number, since it uses as much as digits as its factorization.

112759360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 112759360 is about 10618.8210268372. The cubic root of 112759360 is about 483.1153843618.

The spelling of 112759360 in words is "one hundred twelve million, seven hundred fifty-nine thousand, three hundred sixty".