66072 has 16 divisors (see below), whose sum is σ = 165240. Its totient is φ = 22016.

The previous prime is 66071. The next prime is 66083. The reversal of 66072 is 27066.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66071) 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, 1353 + ... + 1400.

2⁶⁶⁰⁷² is an apocalyptic number.

It is an amenable number.

66072 is an abundant number, since it is smaller than the sum of its proper divisors (99168).

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 (82620).

66072 is a wasteful number, since it uses less digits than its factorization.

66072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2758 counting only the distinct ones).

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

The square root of 66072 is about 257.0447431869. The cubic root of 66072 is about 40.4270902839.

The spelling of 66072 in words is "sixty-six thousand, seventy-two".