729341620225 has 27 divisors (see below), whose sum is σ = 913339685097. Its totient is φ = 577751395680.

The previous prime is 729341620193. The next prime is 729341620279. The reversal of 729341620225 is 522026143927.

The square root of 729341620225 is 854015.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2674027521 + 726667592704 = 51711^2 + 852448^2 .

It is not a de Polignac number, because 729341620225 - 2⁵ = 729341620193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 465437392 + ... + 465438958.

Almost surely, 2^729341620225 is an apocalyptic number.

729341620225 is the 854015-th square number.

729341620225 is the 427008-th centered octagonal number.

It is an amenable number.

729341620225 is a deficient number, since it is larger than the sum of its proper divisors (183998064872).

729341620225 is an frugal number, since it uses more digits than its factorization.

729341620225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 729341620225 in words is "seven hundred twenty-nine billion, three hundred forty-one million, six hundred twenty thousand, two hundred twenty-five".