112372800 has 168 divisors, whose sum is σ = 378329952. Its totient is φ = 29184000.

The previous prime is 112372789. The next prime is 112372801. The reversal of 112372800 is 8273211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112372801) by changing a digit.

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, 196515 + ... + 197085.

It is an arithmetic number, because the mean of its divisors is an integer number (2251964).

Almost surely, 2^112372800 is an apocalyptic number.

112372800 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 112372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189164976).

112372800 is an abundant number, since it is smaller than the sum of its proper divisors (265957152).

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

112372800 is a wasteful number, since it uses less digits than its factorization.

112372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 112372800 is about 10600.6037563905. The cubic root of 112372800 is about 482.5626825774.

The spelling of 112372800 in words is "one hundred twelve million, three hundred seventy-two thousand, eight hundred".