66723 has 8 divisors (see below), whose sum is σ = 92928. Its totient is φ = 42504.

The previous prime is 66721. The next prime is 66733. The reversal of 66723 is 32766.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 66723 - 2¹ = 66721 is a prime.

66723 is a lucky number.

It is a plaindrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 66693 and 66702.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66723.

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 7 ways as a sum of consecutive naturals, for example, 415 + ... + 552.

It is an arithmetic number, because the mean of its divisors is an integer number (11616).

2⁶⁶⁷²³ is an apocalyptic number.

66723 is a deficient number, since it is larger than the sum of its proper divisors (26205).

66723 is a wasteful number, since it uses less digits than its factorization.

66723 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993.

The product of its digits is 1512, while the sum is 24.

The square root of 66723 is about 258.3079557428. The cubic root of 66723 is about 40.5594311122.

The spelling of 66723 in words is "sixty-six thousand, seven hundred twenty-three".