112507200 has 252 divisors, whose sum is σ = 431353468. Its totient is φ = 27648000.

The previous prime is 112507177. The next prime is 112507217. The reversal of 112507200 is 2705211.

It can be written as a sum of positive squares in 6 ways, for example, as 2509056 + 109998144 = 1584^2 + 10488^2 .

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, 186900 + ... + 187500.

Almost surely, 2^112507200 is an apocalyptic number.

112507200 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 112507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215676734).

112507200 is an abundant number, since it is smaller than the sum of its proper divisors (318846268).

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

112507200 is a wasteful number, since it uses less digits than its factorization.

112507200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 624 counting only the distinct ones).

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

The square root of 112507200 is about 10606.9411236228. The cubic root of 112507200 is about 482.7549906366.

It can be divided in two parts, 11250 and 7200, that multiplied together give a square (81000000 = 9000²).

The spelling of 112507200 in words is "one hundred twelve million, five hundred seven thousand, two hundred".