729085438225 has 9 divisors (see below), whose sum is σ = 904071237393. Its totient is φ = 583264935120.

The previous prime is 729085438187. The next prime is 729085438247. The reversal of 729085438225 is 522834580927.

The square root of 729085438225 is 853865.

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 25607360529 + 703478077696 = 160023^2 + 838736^2 .

It is not a de Polignac number, because 729085438225 - 2¹³ = 729085430033 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4183939 + ... + 4354711.

Almost surely, 2^729085438225 is an apocalyptic number.

729085438225 is the 853865-th square number.

729085438225 is the 426933-rd centered octagonal number.

It is an amenable number.

729085438225 is a deficient number, since it is larger than the sum of its proper divisors (174985799168).

729085438225 is an frugal number, since it uses more digits than its factorization.

729085438225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341556 (or 170778 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 55.

The spelling of 729085438225 in words is "seven hundred twenty-nine billion, eighty-five million, four hundred thirty-eight thousand, two hundred twenty-five".