112738400 has 72 divisors (see below), whose sum is σ = 289747080. Its totient is φ = 42716160.

The previous prime is 112738393. The next prime is 112738453. The reversal of 112738400 is 4837211.

It is a self number, because there is not a number n which added to its sum of digits gives 112738400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11492 + ... + 18908.

It is an arithmetic number, because the mean of its divisors is an integer number (4024265).

Almost surely, 2^112738400 is an apocalyptic number.

112738400 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 112738400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144873540).

112738400 is an abundant number, since it is smaller than the sum of its proper divisors (177008680).

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

112738400 is a wasteful number, since it uses less digits than its factorization.

112738400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7456 (or 7443 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 112738400 is about 10617.8340540809. The cubic root of 112738400 is about 483.0854482632.

The spelling of 112738400 in words is "one hundred twelve million, seven hundred thirty-eight thousand, four hundred".