130572 has 60 divisors (see below), whose sum is σ = 379456. Its totient is φ = 38880.

The previous prime is 130553. The next prime is 130579. The reversal of 130572 is 275031.

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (130579) by changing a digit.

130572 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4197 + ... + 4227.

2¹³⁰⁵⁷² is an apocalyptic number.

130572 is a gapful number since it is divisible by the number (12) 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 130572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189728).

130572 is an abundant number, since it is smaller than the sum of its proper divisors (248884).

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

130572 is a wasteful number, since it uses less digits than its factorization.

130572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 130572 is about 361.3474781979. The cubic root of 130572 is about 50.7321598420.

The spelling of 130572 in words is "one hundred thirty thousand, five hundred seventy-two".