115729560 has 160 divisors (see below), whose sum is σ = 406153440. Its totient is φ = 29500416.

The previous prime is 115729543. The next prime is 115729643. The reversal of 115729560 is 65927511.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73744 + ... + 75296.

It is an arithmetic number, because the mean of its divisors is an integer number (2538459).

Almost surely, 2^115729560 is an apocalyptic number.

115729560 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 115729560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203076720).

115729560 is an abundant number, since it is smaller than the sum of its proper divisors (290423880).

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

115729560 is a wasteful number, since it uses less digits than its factorization.

115729560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 115729560 is about 10757.7674263762. The cubic root of 115729560 is about 487.3205967084.

The spelling of 115729560 in words is "one hundred fifteen million, seven hundred twenty-nine thousand, five hundred sixty".