129029472 has 216 divisors, whose sum is σ = 435242808. Its totient is φ = 35942400.

The previous prime is 129029449. The next prime is 129029479. The reversal of 129029472 is 274920921.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129029479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 535272 + ... + 535512.

It is an arithmetic number, because the mean of its divisors is an integer number (2015013).

Almost surely, 2^129029472 is an apocalyptic number.

129029472 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 129029472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217621404).

129029472 is an abundant number, since it is smaller than the sum of its proper divisors (306213336).

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

129029472 is a wasteful number, since it uses less digits than its factorization.

129029472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 129029472 is about 11359.1140499601. The cubic root of 129029472 is about 505.3159112135.

The spelling of 129029472 in words is "one hundred twenty-nine million, twenty-nine thousand, four hundred seventy-two".