729057 has 16 divisors (see below), whose sum is σ = 1123200. Its totient is φ = 412032.

The previous prime is 729041. The next prime is 729059. The reversal of 729057 is 750927.

729057 = T₃₉₈ + T₃₉₉ + ... + T₄₀₆.

It is a happy number.

729057 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 729057 - 2⁴ = 729041 is a prime.

729057 is strictly pandigital in base 7.

It is not an unprimeable number, because it can be changed into a prime (729059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3013 + ... + 3245.

It is an arithmetic number, because the mean of its divisors is an integer number (70200).

2⁷²⁹⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

729057 is a deficient number, since it is larger than the sum of its proper divisors (394143).

729057 is a wasteful number, since it uses less digits than its factorization.

729057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392.

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 729057 is about 853.8483471905. The cubic root of 729057 is about 90.0023456179.

The spelling of 729057 in words is "seven hundred twenty-nine thousand, fifty-seven".