8729165952 has 192 divisors, whose sum is σ = 27318782400. Its totient is φ = 2659350528.

The previous prime is 8729165947. The next prime is 8729165957. The reversal of 8729165952 is 2595619278.

It is an interprime number because it is at equal distance from previous prime (8729165947) and next prime (8729165957).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (8729165957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1539699 + ... + 1545357.

It is an arithmetic number, because the mean of its divisors is an integer number (142285325).

Almost surely, 2^8729165952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8729165952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13659391200).

8729165952 is an abundant number, since it is smaller than the sum of its proper divisors (18589616448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8729165952 is a wasteful number, since it uses less digits than its factorization.

8729165952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5795 (or 5780 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The square root of 8729165952 is about 93430.0056298832. The cubic root of 8729165952 is about 2059.0058633582.

The spelling of 8729165952 in words is "eight billion, seven hundred twenty-nine million, one hundred sixty-five thousand, nine hundred fifty-two".