11672 has 8 divisors (see below), whose sum is σ = 21900. Its totient is φ = 5832.

The previous prime is 11657. The next prime is 11677. The reversal of 11672 is 27611.

It is a happy number.

11672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 11672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11677) by changing a digit.

11672 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 (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 722 + ... + 737.

2¹¹⁶⁷² is an apocalyptic number.

It is an amenable number.

11672 is a deficient number, since it is larger than the sum of its proper divisors (10228).

11672 is a wasteful number, since it uses less digits than its factorization.

11672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1461 counting only the distinct ones).

The product of its digits is 84, while the sum is 17.

The square root of 11672 is about 108.0370306886. The cubic root of 11672 is about 22.6837625735.

The spelling of 11672 in words is "eleven thousand, six hundred seventy-two".