112575200 has 72 divisors (see below), whose sum is σ = 277560360. Its totient is φ = 44582400.

The previous prime is 112575157. The next prime is 112575251. The reversal of 112575200 is 2575211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86555 + ... + 87845.

It is an arithmetic number, because the mean of its divisors is an integer number (3855005).

Almost surely, 2^112575200 is an apocalyptic number.

112575200 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 112575200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138780180).

112575200 is an abundant number, since it is smaller than the sum of its proper divisors (164985160).

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

112575200 is a wasteful number, since it uses less digits than its factorization.

112575200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 23.

The square root of 112575200 is about 10610.1460875899. The cubic root of 112575200 is about 482.8522310144.

The spelling of 112575200 in words is "one hundred twelve million, five hundred seventy-five thousand, two hundred".