130872 has 64 divisors (see below), whose sum is σ = 403200. Its totient is φ = 34560.

The previous prime is 130859. The next prime is 130873. The reversal of 130872 is 278031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130873) by changing a digit.

130872 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 15 ways as a sum of consecutive naturals, for example, 3172 + ... + 3212.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2¹³⁰⁸⁷² is an apocalyptic number.

130872 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 130872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201600).

130872 is an abundant number, since it is smaller than the sum of its proper divisors (272328).

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

130872 is a wasteful number, since it uses less digits than its factorization.

130872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 130872 is about 361.7623529335. The cubic root of 130872 is about 50.7709839050.

The spelling of 130872 in words is "one hundred thirty thousand, eight hundred seventy-two".