729666 has 24 divisors (see below), whose sum is σ = 1807104. Its totient is φ = 208440.

The previous prime is 729661. The next prime is 729671. The reversal of 729666 is 666927.

It is an interprime number because it is at equal distance from previous prime (729661) and next prime (729671).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 729666.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 729666.

It is not an unprimeable number, because it can be changed into a prime (729661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2770 + ... + 3021.

It is an arithmetic number, because the mean of its divisors is an integer number (75296).

2⁷²⁹⁶⁶⁶ is an apocalyptic number.

729666 is an abundant number, since it is smaller than the sum of its proper divisors (1077438).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

729666 is a wasteful number, since it uses less digits than its factorization.

729666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5806 (or 5803 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 729666 is about 854.2048934536. The cubic root of 729666 is about 90.0273990654.

The spelling of 729666 in words is "seven hundred twenty-nine thousand, six hundred sixty-six".