130252672 has 64 divisors (see below), whose sum is σ = 286905600. Its totient is φ = 58406400.

The previous prime is 130252649. The next prime is 130252673. The reversal of 130252672 is 276252031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 130252672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130252673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110647 + ... + 111817.

It is an arithmetic number, because the mean of its divisors is an integer number (4482900).

Almost surely, 2^130252672 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 130252672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143452800).

130252672 is an abundant number, since it is smaller than the sum of its proper divisors (156652928).

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

130252672 is a wasteful number, since it uses less digits than its factorization.

130252672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 130252672 is about 11412.8292723584. The cubic root of 130252672 is about 506.9076908039.

The spelling of 130252672 in words is "one hundred thirty million, two hundred fifty-two thousand, six hundred seventy-two".