13272 has 32 divisors (see below), whose sum is σ = 38400. Its totient is φ = 3744.

The previous prime is 13267. The next prime is 13291. The reversal of 13272 is 27231.

It is a super-2 number, since 2×13272² = 352291968, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129 + ... + 207.

It is an arithmetic number, because the mean of its divisors is an integer number (1200).

2¹³²⁷² is an apocalyptic number.

13272 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 13272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19200).

13272 is an abundant number, since it is smaller than the sum of its proper divisors (25128).

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

13272 is a wasteful number, since it uses less digits than its factorization.

13272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 91 counting only the distinct ones).

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

The square root of 13272 is about 115.2041665913. The cubic root of 13272 is about 23.6762067822.

The spelling of 13272 in words is "thirteen thousand, two hundred seventy-two".