112752080 has 80 divisors (see below), whose sum is σ = 315396480. Its totient is φ = 36619776.

The previous prime is 112752037. The next prime is 112752119. The reversal of 112752080 is 80257211.

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, 5342 + ... + 15938.

It is an arithmetic number, because the mean of its divisors is an integer number (3942456).

Almost surely, 2^112752080 is an apocalyptic number.

112752080 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 112752080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157698240).

112752080 is an abundant number, since it is smaller than the sum of its proper divisors (202644400).

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

112752080 is a wasteful number, since it uses less digits than its factorization.

112752080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10636 (or 10630 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 112752080 is about 10618.4782337207. The cubic root of 112752080 is about 483.1049871297.

The spelling of 112752080 in words is "one hundred twelve million, seven hundred fifty-two thousand, eighty".