112724080 has 80 divisors (see below), whose sum is σ = 302641344. Its totient is φ = 38246400.

The previous prime is 112724069. The next prime is 112724123. The reversal of 112724080 is 80427211.

It is a happy number.

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

It is a congruent number.

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, 55564 + ... + 57556.

Almost surely, 2^112724080 is an apocalyptic number.

112724080 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 112724080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151320672).

112724080 is an abundant number, since it is smaller than the sum of its proper divisors (189917264).

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

112724080 is a wasteful number, since it uses less digits than its factorization.

112724080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 112724080 is about 10617.1596955118. The cubic root of 112724080 is about 483.0649936044.

The spelling of 112724080 in words is "one hundred twelve million, seven hundred twenty-four thousand, eighty".