112744800 has 216 divisors, whose sum is σ = 454564656. Its totient is φ = 25758720.

The previous prime is 112744789. The next prime is 112744813. The reversal of 112744800 is 8447211.

112744800 is a `hidden beast` number, since 112 + 74 + 480 + 0 = 666.

It is a super-2 number, since 2×112744800² = 25422779854080000, 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 35 ways as a sum of consecutive naturals, for example, 49282 + ... + 51518.

It is an arithmetic number, because the mean of its divisors is an integer number (2104466).

Almost surely, 2^112744800 is an apocalyptic number.

112744800 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 112744800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227282328).

112744800 is an abundant number, since it is smaller than the sum of its proper divisors (341819856).

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

112744800 is a wasteful number, since it uses less digits than its factorization.

112744800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 112744800 is about 10618.1354295375. The cubic root of 112744800 is about 483.0945894502.

The spelling of 112744800 in words is "one hundred twelve million, seven hundred forty-four thousand, eight hundred".