66672 has 30 divisors (see below), whose sum is σ = 186992. Its totient is φ = 22176.

The previous prime is 66653. The next prime is 66683. The reversal of 66672 is 27666.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

66672 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 5 ways as a sum of consecutive naturals, for example, 88 + ... + 375.

2⁶⁶⁶⁷² is an apocalyptic number.

It is an amenable number.

66672 is an abundant number, since it is smaller than the sum of its proper divisors (120320).

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

66672 is a wasteful number, since it uses less digits than its factorization.

66672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 468 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 66672 is about 258.2092174962. The cubic root of 66672 is about 40.5490945553.

Adding to 66672 its product of digits (3024), we get a palindrome (69696).

The spelling of 66672 in words is "sixty-six thousand, six hundred seventy-two".