112172880 has 80 divisors (see below), whose sum is σ = 358977024. Its totient is φ = 28945920.

The previous prime is 112172869. The next prime is 112172891. The reversal of 112172880 is 88271211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112172869) and next prime (112172891).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 99 + ... + 14978.

Almost surely, 2^112172880 is an apocalyptic number.

112172880 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 112172880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179488512).

112172880 is an abundant number, since it is smaller than the sum of its proper divisors (246804144).

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

112172880 is a wasteful number, since it uses less digits than its factorization.

112172880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15124 (or 15118 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 30.

The square root of 112172880 is about 10591.1699070499. The cubic root of 112172880 is about 482.2763404505.

The spelling of 112172880 in words is "one hundred twelve million, one hundred seventy-two thousand, eight hundred eighty".