129619072 has 48 divisors (see below), whose sum is σ = 283868550. Its totient is φ = 58910720.

The previous prime is 129619037. The next prime is 129619093. The reversal of 129619072 is 270916921.

It can be written as a sum of positive squares in only one way, i.e., 98883136 + 30735936 = 9944^2 + 5544^2 .

It is a super-2 number, since 2×129619072² = 33602207652282368, which contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 11304 + ... + 19672.

Almost surely, 2^129619072 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 129619072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141934275).

129619072 is an abundant number, since it is smaller than the sum of its proper divisors (154249478).

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

129619072 is an equidigital number, since it uses as much as digits as its factorization.

129619072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8405 (or 8382 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 129619072 is about 11385.0371980069. The cubic root of 129619072 is about 506.0844219570.

The spelling of 129619072 in words is "one hundred twenty-nine million, six hundred nineteen thousand, seventy-two".