112075200 has 252 divisors, whose sum is σ = 409857448. Its totient is φ = 29030400.

The previous prime is 112075189. The next prime is 112075207. The reversal of 112075200 is 2570211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112075207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 619110 + ... + 619290.

Almost surely, 2^112075200 is an apocalyptic number.

112075200 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 112075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204928724).

112075200 is an abundant number, since it is smaller than the sum of its proper divisors (297782248).

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

112075200 is a wasteful number, since it uses less digits than its factorization.

112075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 112075200 is about 10586.5575141308. The cubic root of 112075200 is about 482.1363112574.

The spelling of 112075200 in words is "one hundred twelve million, seventy-five thousand, two hundred".