129568752 has 240 divisors, whose sum is σ = 417830400. Its totient is φ = 37255680.

The previous prime is 129568741. The next prime is 129568753. The reversal of 129568752 is 257865921.

129568752 is a `hidden beast` number, since 12 + 9 + 568 + 75 + 2 = 666.

It is a super-2 number, since 2×129568752² = 33576122989675008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 129568698 and 129568707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129568753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1824877 + ... + 1824947.

It is an arithmetic number, because the mean of its divisors is an integer number (1740960).

Almost surely, 2^129568752 is an apocalyptic number.

129568752 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 129568752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208915200).

129568752 is an abundant number, since it is smaller than the sum of its proper divisors (288261648).

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

129568752 is a wasteful number, since it uses less digits than its factorization.

129568752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 147 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 129568752 is about 11382.8270653647. The cubic root of 129568752 is about 506.0189237144.

The spelling of 129568752 in words is "one hundred twenty-nine million, five hundred sixty-eight thousand, seven hundred fifty-two".