130072831 has 24 divisors (see below), whose sum is σ = 159590880. Its totient is φ = 103821312.

The previous prime is 130072819. The next prime is 130072837. The reversal of 130072831 is 138270031.

It is not a de Polignac number, because 130072831 - 2⁵ = 130072799 is a prime.

It is a super-2 number, since 2×130072831² = 33837882728709122, which contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 130072796 and 130072805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130072837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228315 + ... + 228883.

It is an arithmetic number, because the mean of its divisors is an integer number (6649620).

Almost surely, 2^130072831 is an apocalyptic number.

130072831 is a deficient number, since it is larger than the sum of its proper divisors (29518049).

130072831 is a wasteful number, since it uses less digits than its factorization.

130072831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 130072831 is about 11404.9476544174. The cubic root of 130072831 is about 506.6742860600.

The spelling of 130072831 in words is "one hundred thirty million, seventy-two thousand, eight hundred thirty-one".