130072321 has 8 divisors (see below), whose sum is σ = 138731400. Its totient is φ = 121525248.

The previous prime is 130072307. The next prime is 130072333. The reversal of 130072321 is 123270031.

130072321 = 8064² + 8065².

It can be written as a sum of positive squares in 4 ways, for example, as 65044225 + 65028096 = 8065^2 + 8064^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 130072321 - 2⁵ = 130072289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130072301) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 25596 + ... + 30253.

It is an arithmetic number, because the mean of its divisors is an integer number (17341425).

Almost surely, 2^130072321 is an apocalyptic number.

130072321 is the 8065-th centered square number.

It is an amenable number.

130072321 is a deficient number, since it is larger than the sum of its proper divisors (8659079).

130072321 is a wasteful number, since it uses less digits than its factorization.

130072321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56003.

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 130072321 is about 11404.9252956782. The cubic root of 130072321 is about 506.6736238561.

The spelling of 130072321 in words is "one hundred thirty million, seventy-two thousand, three hundred twenty-one".