729006 has 8 divisors (see below), whose sum is σ = 1458024. Its totient is φ = 243000.

The previous prime is 728993. The next prime is 729019. The reversal of 729006 is 600927.

It is an interprime number because it is at equal distance from previous prime (728993) and next prime (729019).

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

729006 is an admirable number.

It is a congruent number.

It is an unprimeable number.

729006 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60745 + ... + 60756.

It is an arithmetic number, because the mean of its divisors is an integer number (182253).

729006 is a Friedman number, since it can be written as 90^(7^0+2)+6, using all its digits and the basic arithmetic operations.

2⁷²⁹⁰⁰⁶ is an apocalyptic number.

729006 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

729006 is a wasteful number, since it uses less digits than its factorization.

729006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121506.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 729006 is about 853.8184818801. The cubic root of 729006 is about 90.0002469129. Note that the first 3 decimals are identical.

The spelling of 729006 in words is "seven hundred twenty-nine thousand, six".