8729725489 has 9 divisors (see below), whose sum is σ = 8789271169. Its totient is φ = 8670582400.

The previous prime is 8729725481. The next prime is 8729725531. The reversal of 8729725489 is 9845279278.

The square root of 8729725489 is 93433.

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 1127280625 + 7602444864 = 33575^2 + 87192^2 .

It is not a de Polignac number, because 8729725489 - 2³ = 8729725481 is a prime.

It is a super-2 number, since 2×8729725489² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8729725481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21769689 + ... + 21770089.

Almost surely, 2^8729725489 is an apocalyptic number.

8729725489 is the 93433-rd square number.

8729725489 is the 46717-th centered octagonal number.

It is an amenable number.

8729725489 is a deficient number, since it is larger than the sum of its proper divisors (59545680).

8729725489 is an frugal number, since it uses more digits than its factorization.

8729725489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 634 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 61.

The cubic root of 8729725489 is about 2059.0498563107.

The spelling of 8729725489 in words is "eight billion, seven hundred twenty-nine million, seven hundred twenty-five thousand, four hundred eighty-nine".