129972480 has 288 divisors, whose sum is σ = 482122368. Its totient is φ = 29491200.

The previous prime is 129972473. The next prime is 129972481. The reversal of 129972480 is 84279921.

It is not an unprimeable number, because it can be changed into a prime (129972481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 717990 + ... + 718170.

It is an arithmetic number, because the mean of its divisors is an integer number (1674036).

Almost surely, 2^129972480 is an apocalyptic number.

129972480 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 129972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241061184).

129972480 is an abundant number, since it is smaller than the sum of its proper divisors (352149888).

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

129972480 is a wasteful number, since it uses less digits than its factorization.

129972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 129972480 is about 11400.5473552808. The cubic root of 129972480 is about 506.5439530453.

The spelling of 129972480 in words is "one hundred twenty-nine million, nine hundred seventy-two thousand, four hundred eighty".