6672 has 20 divisors (see below), whose sum is σ = 17360. Its totient is φ = 2208.

The previous prime is 6661. The next prime is 6673. The reversal of 6672 is 2766.

It is not an unprimeable number, because it can be changed into a prime (6673) by changing a digit.

6672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22 + ... + 117.

It is an arithmetic number, because the mean of its divisors is an integer number (868).

2⁶⁶⁷² is an apocalyptic number.

It is an amenable number.

6672 is an abundant number, since it is smaller than the sum of its proper divisors (10688).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8680).

6672 is a wasteful number, since it uses less digits than its factorization.

6672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 6672 is about 81.6823114266. The cubic root of 6672 is about 18.8257380987.

The spelling of 6672 in words is "six thousand, six hundred seventy-two".