66872 has 16 divisors (see below), whose sum is σ = 135240. Its totient is φ = 30816.

The previous prime is 66863. The next prime is 66877. The reversal of 66872 is 27866.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66877) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 218 + ... + 425.

2⁶⁶⁸⁷² is an apocalyptic number.

It is an amenable number.

66872 is an abundant number, since it is smaller than the sum of its proper divisors (68368).

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 (67620).

66872 is a wasteful number, since it uses less digits than its factorization.

66872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 658 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 66872 is about 258.5962103357. The cubic root of 66872 is about 40.5895999311.

The spelling of 66872 in words is "sixty-six thousand, eight hundred seventy-two".