129411072 has 288 divisors, whose sum is σ = 459950400. Its totient is φ = 34209792.

The previous prime is 129411059. The next prime is 129411097. The reversal of 129411072 is 270114921.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2193379 + ... + 2193437.

It is an arithmetic number, because the mean of its divisors is an integer number (1597050).

Almost surely, 2^129411072 is an apocalyptic number.

129411072 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 129411072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229975200).

129411072 is an abundant number, since it is smaller than the sum of its proper divisors (330539328).

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

129411072 is a wasteful number, since it uses less digits than its factorization.

129411072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 129411072 is about 11375.8987337265. The cubic root of 129411072 is about 505.8135721121.

Adding to 129411072 its reverse (270114921), we get a palindrome (399525993).

The spelling of 129411072 in words is "one hundred twenty-nine million, four hundred eleven thousand, seventy-two".