727904 has 36 divisors (see below), whose sum is σ = 1532916. Its totient is φ = 340032.

The previous prime is 727891. The next prime is 727933. The reversal of 727904 is 409727.

727904 = T₂₄₀ + T₂₄₁ + ... + T₂₆₂.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16907 + ... + 16949.

It is an arithmetic number, because the mean of its divisors is an integer number (42581).

2⁷²⁷⁹⁰⁴ 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 727904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766458).

727904 is an abundant number, since it is smaller than the sum of its proper divisors (805012).

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

727904 is a wasteful number, since it uses less digits than its factorization.

727904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 727904 is about 853.1729015856. The cubic root of 727904 is about 89.9548744974.

The spelling of 727904 in words is "seven hundred twenty-seven thousand, nine hundred four".