112723200 has 324 divisors, whose sum is σ = 428340640. Its totient is φ = 28200960.

The previous prime is 112723199. The next prime is 112723229. The reversal of 112723200 is 2327211.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1094349 + ... + 1094451.

Almost surely, 2^112723200 is an apocalyptic number.

112723200 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 112723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214170320).

112723200 is an abundant number, since it is smaller than the sum of its proper divisors (315617440).

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

112723200 is a wasteful number, since it uses less digits than its factorization.

112723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 112723200 is about 10617.1182530854. The cubic root of 112723200 is about 483.0637365577.

The spelling of 112723200 in words is "one hundred twelve million, seven hundred twenty-three thousand, two hundred".