66572 has 24 divisors (see below), whose sum is σ = 136080. Its totient is φ = 28160.

The previous prime is 66571. The next prime is 66587. The reversal of 66572 is 27566.

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (66571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 704 + ... + 792.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2⁶⁶⁵⁷² is an apocalyptic number.

It is an amenable number.

66572 is an abundant number, since it is smaller than the sum of its proper divisors (69508).

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 (68040).

66572 is a wasteful number, since it uses less digits than its factorization.

66572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 119 counting only the distinct ones).

The product of its digits is 2520, while the sum is 26.

The square root of 66572 is about 258.0155034102. The cubic root of 66572 is about 40.5288114858.

It can be divided in two parts, 665 and 72, that added together give a palindrome (737).

The spelling of 66572 in words is "sixty-six thousand, five hundred seventy-two".