112535200 has 72 divisors (see below), whose sum is σ = 276732288. Its totient is φ = 44686080.

The previous prime is 112535173. The next prime is 112535209. The reversal of 112535200 is 2535211.

It is not an unprimeable number, because it can be changed into a prime (112535209) 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, 129969 + ... + 130831.

It is an arithmetic number, because the mean of its divisors is an integer number (3843504).

Almost surely, 2^112535200 is an apocalyptic number.

112535200 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 112535200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138366144).

112535200 is an abundant number, since it is smaller than the sum of its proper divisors (164197088).

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

112535200 is a wasteful number, since it uses less digits than its factorization.

112535200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 112535200 is about 10608.2609319341. The cubic root of 112535200 is about 482.7950355360.

The spelling of 112535200 in words is "one hundred twelve million, five hundred thirty-five thousand, two hundred".