112942720 has 128 divisors (see below), whose sum is σ = 300516480. Its totient is φ = 40243200.

The previous prime is 112942681. The next prime is 112942723. The reversal of 112942720 is 27249211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112942723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429309 + ... + 429571.

It is an arithmetic number, because the mean of its divisors is an integer number (2347785).

Almost surely, 2^112942720 is an apocalyptic number.

112942720 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 112942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150258240).

112942720 is an abundant number, since it is smaller than the sum of its proper divisors (187573760).

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

112942720 is a wasteful number, since it uses less digits than its factorization.

112942720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 112942720 is about 10627.4512466536. The cubic root of 112942720 is about 483.3771100526.

The spelling of 112942720 in words is "one hundred twelve million, nine hundred forty-two thousand, seven hundred twenty".