112724352 has 192 divisors, whose sum is σ = 362120400. Its totient is φ = 34504704.

The previous prime is 112724327. The next prime is 112724411. The reversal of 112724352 is 253427211.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 583968 + ... + 584160.

Almost surely, 2^112724352 is an apocalyptic number.

112724352 is a gapful number since it is divisible by the number (12) 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 112724352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181060200).

112724352 is an abundant number, since it is smaller than the sum of its proper divisors (249396048).

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

112724352 is a wasteful number, since it uses less digits than its factorization.

112724352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 211 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 112724352 is about 10617.1725049563. The cubic root of 112724352 is about 483.0653821447.

The spelling of 112724352 in words is "one hundred twelve million, seven hundred twenty-four thousand, three hundred fifty-two".