129072624 has 80 divisors (see below), whose sum is σ = 352894080. Its totient is φ = 40538880.

The previous prime is 129072583. The next prime is 129072637. The reversal of 129072624 is 426270921.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 279754 + ... + 280214.

It is an arithmetic number, because the mean of its divisors is an integer number (4411176).

Almost surely, 2^129072624 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 129072624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176447040).

129072624 is an abundant number, since it is smaller than the sum of its proper divisors (223821456).

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

129072624 is a wasteful number, since it uses less digits than its factorization.

129072624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 129072624 is about 11361.0133350859. The cubic root of 129072624 is about 505.3722367477.

The spelling of 129072624 in words is "one hundred twenty-nine million, seventy-two thousand, six hundred twenty-four".