130072320 has 216 divisors, whose sum is σ = 514646496. Its totient is φ = 29712384.

The previous prime is 130072307. The next prime is 130072333. The reversal of 130072320 is 23270031.

It is an interprime number because it is at equal distance from previous prime (130072307) and next prime (130072333).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130072293 and 130072302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79834 + ... + 81446.

Almost surely, 2^130072320 is an apocalyptic number.

130072320 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 130072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257323248).

130072320 is an abundant number, since it is smaller than the sum of its proper divisors (384574176).

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

130072320 is a wasteful number, since it uses less digits than its factorization.

130072320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 130072320 is about 11404.9252518375. The cubic root of 130072320 is about 506.6736225576.

The spelling of 130072320 in words is "one hundred thirty million, seventy-two thousand, three hundred twenty".