112775200 has 72 divisors (see below), whose sum is σ = 284864580. Its totient is φ = 43545600.

The previous prime is 112775177. The next prime is 112775209. The reversal of 112775200 is 2577211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 69689104 + 43086096 = 8348^2 + 6564^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (112775209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20770 + ... + 25630.

Almost surely, 2^112775200 is an apocalyptic number.

112775200 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 112775200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142432290).

112775200 is an abundant number, since it is smaller than the sum of its proper divisors (172089380).

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

112775200 is a wasteful number, since it uses less digits than its factorization.

112775200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4910 (or 4897 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 25.

The square root of 112775200 is about 10619.5668461571. The cubic root of 112775200 is about 483.1380053645.

The spelling of 112775200 in words is "one hundred twelve million, seven hundred seventy-five thousand, two hundred".