112731840 has 168 divisors, whose sum is σ = 417716208. Its totient is φ = 27740160.

The previous prime is 112731823. The next prime is 112731863. The reversal of 112731840 is 48137211.

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, 35935 + ... + 38945.

It is an arithmetic number, because the mean of its divisors is an integer number (2486406).

Almost surely, 2^112731840 is an apocalyptic number.

112731840 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 112731840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208858104).

112731840 is an abundant number, since it is smaller than the sum of its proper divisors (304984368).

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

112731840 is a wasteful number, since it uses less digits than its factorization.

112731840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 112731840 is about 10617.5251353599. The cubic root of 112731840 is about 483.0760781876.

The spelling of 112731840 in words is "one hundred twelve million, seven hundred thirty-one thousand, eight hundred forty".