66972 has 12 divisors (see below), whose sum is σ = 156296. Its totient is φ = 22320.

The previous prime is 66959. The next prime is 66973. The reversal of 66972 is 27966.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66973) by changing a digit.

66972 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 in 3 ways as a sum of consecutive naturals, for example, 2779 + ... + 2802.

2⁶⁶⁹⁷² is an apocalyptic number.

It is an amenable number.

66972 is an abundant number, since it is smaller than the sum of its proper divisors (89324).

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 (78148).

66972 is a wasteful number, since it uses less digits than its factorization.

66972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5588 (or 5586 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 66972 is about 258.7894897402. The cubic root of 66972 is about 40.6098223382.

It can be divided in two parts, 669 and 72, that added together give a triangular number (741 = T₃₈).

The spelling of 66972 in words is "sixty-six thousand, nine hundred seventy-two".