112763200 has 168 divisors, whose sum is σ = 311810400. Its totient is φ = 39782400.

The previous prime is 112763191. The next prime is 112763239. The reversal of 112763200 is 2367211.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 756726 + ... + 756874.

Almost surely, 2^112763200 is an apocalyptic number.

112763200 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 112763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155905200).

112763200 is an abundant number, since it is smaller than the sum of its proper divisors (199047200).

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

112763200 is a wasteful number, since it uses less digits than its factorization.

112763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 112763200 is about 10619.0018363309. The cubic root of 112763200 is about 483.1208684358.

The spelling of 112763200 in words is "one hundred twelve million, seven hundred sixty-three thousand, two hundred".