729906 has 16 divisors (see below), whose sum is σ = 1468800. Its totient is φ = 241808.

The previous prime is 729877. The next prime is 729907. The reversal of 729906 is 609927.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (729907) 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, 1180 + ... + 1688.

It is an arithmetic number, because the mean of its divisors is an integer number (91800).

2⁷²⁹⁹⁰⁶ is an apocalyptic number.

729906 is an abundant number, since it is smaller than the sum of its proper divisors (738894).

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

729906 is a wasteful number, since it uses less digits than its factorization.

729906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753.

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 729906 is about 854.3453634216. The cubic root of 729906 is about 90.0372685158.

The spelling of 729906 in words is "seven hundred twenty-nine thousand, nine hundred six".