112715200 has 84 divisors (see below), whose sum is σ = 298739560. Its totient is φ = 41610240.

The previous prime is 112715189. The next prime is 112715227. The reversal of 112715200 is 2517211.

It is a super-2 number, since 2×112715200² = 25409432622080000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18091 + ... + 23509.

Almost surely, 2^112715200 is an apocalyptic number.

112715200 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 112715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149369780).

112715200 is an abundant number, since it is smaller than the sum of its proper divisors (186024360).

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

112715200 is a wasteful number, since it uses less digits than its factorization.

112715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5454 (or 5439 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 112715200 is about 10616.7414963349. The cubic root of 112715200 is about 483.0523085602.

It can be divided in two parts, 11271 and 5200, that added together give a triangular number (16471 = T₁₈₁).

The spelling of 112715200 in words is "one hundred twelve million, seven hundred fifteen thousand, two hundred".