13672 has 8 divisors (see below), whose sum is σ = 25650. Its totient is φ = 6832.

The previous prime is 13669. The next prime is 13679. The reversal of 13672 is 27631.

13672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12996 + 676 = 114^2 + 26^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 847 + ... + 862.

2¹³⁶⁷² is an apocalyptic number.

13672 is the 63-rd centered heptagonal number.

It is an amenable number.

13672 is a deficient number, since it is larger than the sum of its proper divisors (11978).

13672 is a wasteful number, since it uses less digits than its factorization.

13672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1711 counting only the distinct ones).

The product of its digits is 252, while the sum is 19.

The square root of 13672 is about 116.9273278579. The cubic root of 13672 is about 23.9117126580.

Adding to 13672 its product of digits (252), we get a square (13924 = 118²).

It can be divided in two parts, 1367 and 2, that added together give a square (1369 = 37²).

The spelling of 13672 in words is "thirteen thousand, six hundred seventy-two".