112729032 has 96 divisors (see below), whose sum is σ = 340212600. Its totient is φ = 33481728.

The previous prime is 112729031. The next prime is 112729069. The reversal of 112729032 is 230927211.

It can be written as a sum of positive squares in 4 ways, for example, as 42068196 + 70660836 = 6486^2 + 8406^2 .

It is a junction number, because it is equal to n+sod(n) for n = 112728987 and 112729005.

It is not an unprimeable number, because it can be changed into a prime (112729031) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 25068 + ... + 29220.

Almost surely, 2^112729032 is an apocalyptic number.

112729032 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 112729032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170106300).

112729032 is an abundant number, since it is smaller than the sum of its proper divisors (227483568).

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

112729032 is a wasteful number, since it uses less digits than its factorization.

112729032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4207 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 112729032 is about 10617.3929003310. The cubic root of 112729032 is about 483.0720672270.

The spelling of 112729032 in words is "one hundred twelve million, seven hundred twenty-nine thousand, thirty-two".