8729525520 has 100 divisors (see below), whose sum is σ = 30318957900. Its totient is φ = 2327871744.

The previous prime is 8729525513. The next prime is 8729525527. The reversal of 8729525520 is 255259278.

8729525520 is a `hidden beast` number, since 8 + 7 + 2 + 95 + 2 + 552 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8729525513) and next prime (8729525527).

It can be written as a sum of positive squares in 2 ways, for example, as 5951813904 + 2777711616 = 77148^2 + 52704^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8729525527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 667095 + ... + 680054.

It is an arithmetic number, because the mean of its divisors is an integer number (303189579).

Almost surely, 2^8729525520 is an apocalyptic number.

8729525520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8729525520 is an abundant number, since it is smaller than the sum of its proper divisors (21589432380).

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

8729525520 is a wasteful number, since it uses less digits than its factorization.

8729525520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347174 (or 1347159 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 8729525520 is about 93431.9298741067. The cubic root of 8729525520 is about 2059.0341341942.

The spelling of 8729525520 in words is "eight billion, seven hundred twenty-nine million, five hundred twenty-five thousand, five hundred twenty".