130272 has 48 divisors (see below), whose sum is σ = 362880. Its totient is φ = 40832.

The previous prime is 130267. The next prime is 130279. The reversal of 130272 is 272031.

It is a tau number, because it is divible by the number of its divisors (48).

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 (130279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2179 + ... + 2237.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2¹³⁰²⁷² is an apocalyptic number.

130272 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 130272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440).

130272 is an abundant number, since it is smaller than the sum of its proper divisors (232608).

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

130272 is a wasteful number, since it uses less digits than its factorization.

130272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 130272 is about 360.9321265834. The cubic root of 130272 is about 50.6932762656.

The spelling of 130272 in words is "one hundred thirty thousand, two hundred seventy-two".