729904 has 50 divisors (see below), whose sum is σ = 1736620. Its totient is φ = 296352.

The previous prime is 729877. The next prime is 729907. The reversal of 729904 is 409927.

It is not an unprimeable number, because it can be changed into a prime (729907) by changing a digit.

729904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38407 + ... + 38425.

2⁷²⁹⁹⁰⁴ 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 729904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868310).

729904 is an abundant number, since it is smaller than the sum of its proper divisors (1006716).

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

729904 is an equidigital number, since it uses as much as digits as its factorization.

729904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 729904 is about 854.3441929340. The cubic root of 729904 is about 90.0371862793.

The spelling of 729904 in words is "seven hundred twenty-nine thousand, nine hundred four".