13572 has 36 divisors (see below), whose sum is σ = 38220. Its totient is φ = 4032.

The previous prime is 13567. The next prime is 13577. The reversal of 13572 is 27531.

It is an interprime number because it is at equal distance from previous prime (13567) and next prime (13577).

It can be written as a sum of positive squares in 2 ways, for example, as 4356 + 9216 = 66^2 + 96^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (13577) by changing a digit.

13572 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 454 + ... + 482.

2¹³⁵⁷² is an apocalyptic number.

13572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 116×117.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19110).

13572 is an abundant number, since it is smaller than the sum of its proper divisors (24648).

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

13572 is a wasteful number, since it uses less digits than its factorization.

13572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 47 counting only the distinct ones).

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

The square root of 13572 is about 116.4989270337. The cubic root of 13572 is about 23.8532714419.

It can be divided in two parts, 13 and 572, that added together give a palindrome (585).

The spelling of 13572 in words is "thirteen thousand, five hundred seventy-two".