130072830 has 64 divisors (see below), whose sum is σ = 324656640. Its totient is φ = 33312384.

The previous prime is 130072819. The next prime is 130072837. The reversal of 130072830 is 38270031.

It is a super-2 number, since 2×130072830² = 33837882208417800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130072830.

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 31 ways as a sum of consecutive naturals, for example, 266847 + ... + 267333.

It is an arithmetic number, because the mean of its divisors is an integer number (5072760).

Almost surely, 2^130072830 is an apocalyptic number.

130072830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130072830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162328320).

130072830 is an abundant number, since it is smaller than the sum of its proper divisors (194583810).

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

130072830 is a wasteful number, since it uses less digits than its factorization.

130072830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 130072830 is about 11404.9476105767. The cubic root of 130072830 is about 506.6742847616.

The spelling of 130072830 in words is "one hundred thirty million, seventy-two thousand, eight hundred thirty".