9725248072089 has 81 divisors (see below), whose sum is σ = 15673042500661. Its totient is φ = 5811074392200.

The previous prime is 9725248072087. The next prime is 9725248072121. The reversal of 9725248072089 is 9802708425279.

The square root of 9725248072089 is 3118533.

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

9725248072089 is a `hidden beast` number, since 9 + 7 + 2 + 5 + 2 + 480 + 72 + 0 + 89 = 666.

It is not a de Polignac number, because 9725248072089 - 2¹ = 9725248072087 is a prime.

It is a super-2 number, since 2×9725248072089² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9725248072081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 136975324924 + ... + 136975324994.

Almost surely, 2^{9725248072089} is an apocalyptic number.

9725248072089 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

9725248072089 is the 3118533-rd square number.

9725248072089 is the 1559267-th centered octagonal number.

It is an amenable number.

9725248072089 is a deficient number, since it is larger than the sum of its proper divisors (5947794428572).

9725248072089 is an frugal number, since it uses more digits than its factorization.

9725248072089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 9725248072089 in words is "nine trillion, seven hundred twenty-five billion, two hundred forty-eight million, seventy-two thousand, eighty-nine".