112782432 has 96 divisors (see below), whose sum is σ = 353106432. Its totient is φ = 30818304.

The previous prime is 112782413. The next prime is 112782443. The reversal of 112782432 is 234287211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 112782432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11808 + ... + 19104.

It is an arithmetic number, because the mean of its divisors is an integer number (3678192).

Almost surely, 2^112782432 is an apocalyptic number.

112782432 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 112782432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176553216).

112782432 is an abundant number, since it is smaller than the sum of its proper divisors (240324000).

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

112782432 is a wasteful number, since it uses less digits than its factorization.

112782432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7340 (or 7332 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 112782432 is about 10619.9073442286. The cubic root of 112782432 is about 483.1483326332.

The spelling of 112782432 in words is "one hundred twelve million, seven hundred eighty-two thousand, four hundred thirty-two".