729008 has 40 divisors (see below), whose sum is σ = 1690368. Its totient is φ = 297792.

The previous prime is 728993. The next prime is 729019. The reversal of 729008 is 800927.

It is an unprimeable number.

729008 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2435 + ... + 2717.

729008 is a Friedman number, since it can be written as 90^(7^0+2)+8, using all its digits and the basic arithmetic operations.

2⁷²⁹⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845184).

729008 is an abundant number, since it is smaller than the sum of its proper divisors (961360).

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

729008 is a wasteful number, since it uses less digits than its factorization.

729008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 729008 is about 853.8196530884. The cubic root of 729008 is about 90.0003292169. Note that the first 3 decimals are identical.

The spelling of 729008 in words is "seven hundred twenty-nine thousand, eight".