129564672 has 68 divisors (see below), whose sum is σ = 346027440. Its totient is φ = 43122688.

The previous prime is 129564647. The next prime is 129564679. The reversal of 129564672 is 276465921.

It is not an unprimeable number, because it can be changed into a prime (129564679) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 196279 + ... + 196937.

Almost surely, 2^129564672 is an apocalyptic number.

129564672 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 129564672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173013720).

129564672 is an abundant number, since it is smaller than the sum of its proper divisors (216462768).

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

129564672 is an frugal number, since it uses more digits than its factorization.

129564672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 664 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 129564672 is about 11382.6478466128. The cubic root of 129564672 is about 506.0136123029.

The spelling of 129564672 in words is "one hundred twenty-nine million, five hundred sixty-four thousand, six hundred seventy-two".