729714321 has 30 divisors (see below), whose sum is σ = 1229667010. Its totient is φ = 416967264.

The previous prime is 729714317. The next prime is 729714331. The reversal of 729714321 is 123417927.

It can be written as a sum of positive squares in only one way, i.e., 700131600 + 29582721 = 26460^2 + 5439^2 .

It is not a de Polignac number, because 729714321 - 2² = 729714317 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729714311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4725 + ... + 38493.

Almost surely, 2^729714321 is an apocalyptic number.

It is an amenable number.

729714321 is a deficient number, since it is larger than the sum of its proper divisors (499952689).

729714321 is an equidigital number, since it uses as much as digits as its factorization.

729714321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33803 (or 33779 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 729714321 is about 27013.2249278016. The cubic root of 729714321 is about 900.2938632981.

The spelling of 729714321 in words is "seven hundred twenty-nine million, seven hundred fourteen thousand, three hundred twenty-one".