66729 has 16 divisors (see below), whose sum is σ = 100800. Its totient is φ = 38976.

The previous prime is 66721. The next prime is 66733. The reversal of 66729 is 92766.

66729 = 1² + 2² + ... + 58².

It is not a de Polignac number, because 66729 - 2³ = 66721 is a prime.

It is an Ulam number.

66729 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 66696 and 66705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1102 + ... + 1160.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2⁶⁶⁷²⁹ is an apocalyptic number.

It is an amenable number.

66729 is a deficient number, since it is larger than the sum of its proper divisors (34071).

66729 is a wasteful number, since it uses less digits than its factorization.

66729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104.

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

The square root of 66729 is about 258.3195695258. The cubic root of 66729 is about 40.5606468313.

It can be divided in two parts, 667 and 29, that added together give a palindrome (696).

The spelling of 66729 in words is "sixty-six thousand, seven hundred twenty-nine".