112891752 has 64 divisors (see below), whose sum is σ = 315201600. Its totient is φ = 37437120.

The previous prime is 112891729. The next prime is 112891777. The reversal of 112891752 is 257198211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44338 + ... + 46814.

It is an arithmetic number, because the mean of its divisors is an integer number (4925025).

Almost surely, 2^112891752 is an apocalyptic number.

112891752 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 112891752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157600800).

112891752 is an abundant number, since it is smaller than the sum of its proper divisors (202309848).

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

112891752 is a wasteful number, since it uses less digits than its factorization.

112891752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2693 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

The square root of 112891752 is about 10625.0530351618. The cubic root of 112891752 is about 483.3043874329.

It can be divided in two parts, 11289 and 1752, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 112891752 in words is "one hundred twelve million, eight hundred ninety-one thousand, seven hundred fifty-two".