129727312 has 120 divisors (see below), whose sum is σ = 310292640. Its totient is φ = 51782400.

The previous prime is 129727309. The next prime is 129727319. The reversal of 129727312 is 213727921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129727319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2198739 + ... + 2198797.

It is an arithmetic number, because the mean of its divisors is an integer number (2585772).

Almost surely, 2^129727312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129727312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155146320).

129727312 is an abundant number, since it is smaller than the sum of its proper divisors (180565328).

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

129727312 is a wasteful number, since it uses less digits than its factorization.

129727312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 116 counting only the distinct ones).

The product of its digits is 10584, while the sum is 34.

The square root of 129727312 is about 11389.7898136884. The cubic root of 129727312 is about 506.2252534365.

The spelling of 129727312 in words is "one hundred twenty-nine million, seven hundred twenty-seven thousand, three hundred twelve".