112529280 has 256 divisors, whose sum is σ = 387763200. Its totient is φ = 27697152.

The previous prime is 112529243. The next prime is 112529293. The reversal of 112529280 is 82925211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2394217 + ... + 2394263.

It is an arithmetic number, because the mean of its divisors is an integer number (1514700).

Almost surely, 2^112529280 is an apocalyptic number.

112529280 is a gapful number since it is divisible by the number (10) 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 112529280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193881600).

112529280 is an abundant number, since it is smaller than the sum of its proper divisors (275233920).

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

112529280 is a wasteful number, since it uses less digits than its factorization.

112529280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 112529280 is about 10607.9819004370. The cubic root of 112529280 is about 482.7865694539.

The spelling of 112529280 in words is "one hundred twelve million, five hundred twenty-nine thousand, two hundred eighty".