112747200 has 168 divisors, whose sum is σ = 375684288. Its totient is φ = 29598720.

The previous prime is 112747189. The next prime is 112747241. The reversal of 112747200 is 2747211.

It is a super-2 number, since 2×112747200² = 25423862215680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 398259 + ... + 398541.

It is an arithmetic number, because the mean of its divisors is an integer number (2236216).

Almost surely, 2^112747200 is an apocalyptic number.

112747200 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 112747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187842144).

112747200 is an abundant number, since it is smaller than the sum of its proper divisors (262937088).

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

112747200 is a wasteful number, since it uses less digits than its factorization.

112747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 112747200 is about 10618.2484431285. The cubic root of 112747200 is about 483.0980173061.

The spelling of 112747200 in words is "one hundred twelve million, seven hundred forty-seven thousand, two hundred".