112566432 has 192 divisors, whose sum is σ = 343816704. Its totient is φ = 31933440.

The previous prime is 112566427. The next prime is 112566473. The reversal of 112566432 is 234665211.

It is a super-2 number, since 2×112566432² = 25342403226421248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112566432.

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 31 ways as a sum of consecutive naturals, for example, 1680063 + ... + 1680129.

It is an arithmetic number, because the mean of its divisors is an integer number (1790712).

Almost surely, 2^112566432 is an apocalyptic number.

112566432 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 112566432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171908352).

112566432 is an abundant number, since it is smaller than the sum of its proper divisors (231250272).

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

112566432 is a wasteful number, since it uses less digits than its factorization.

112566432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 163 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 112566432 is about 10609.7328901344. The cubic root of 112566432 is about 482.8396949251.

The spelling of 112566432 in words is "one hundred twelve million, five hundred sixty-six thousand, four hundred thirty-two".