129072480 has 96 divisors (see below), whose sum is σ = 408167424. Its totient is φ = 34285056.

The previous prime is 129072479. The next prime is 129072487. The reversal of 129072480 is 84270921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129072487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212337 + ... + 212943.

It is an arithmetic number, because the mean of its divisors is an integer number (4251744).

Almost surely, 2^129072480 is an apocalyptic number.

129072480 is a gapful number since it is divisible by the number (10) 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 129072480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204083712).

129072480 is an abundant number, since it is smaller than the sum of its proper divisors (279094944).

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

129072480 is a wasteful number, since it uses less digits than its factorization.

With its successor (129072481) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1068).

129072480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 129072480 is about 11361.0069976213. The cubic root of 129072480 is about 505.3720488079.

The spelling of 129072480 in words is "one hundred twenty-nine million, seventy-two thousand, four hundred eighty".