9072852768 has 480 divisors, whose sum is σ = 32360549760. Its totient is φ = 2438553600.

The previous prime is 9072852749. The next prime is 9072852793. The reversal of 9072852768 is 8672582709.

It is a happy number.

9072852768 is a `hidden beast` number, since 90 + 7 + 28 + 527 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22625368 + ... + 22625768.

It is an arithmetic number, because the mean of its divisors is an integer number (67417812).

Almost surely, 2^9072852768 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 9072852768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16180274880).

9072852768 is an abundant number, since it is smaller than the sum of its proper divisors (23287696992).

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

9072852768 is a wasteful number, since it uses less digits than its factorization.

9072852768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 9072852768 is about 95251.5237043482. The cubic root of 9072852768 is about 2085.6813341853.

The spelling of 9072852768 in words is "nine billion, seventy-two million, eight hundred fifty-two thousand, seven hundred sixty-eight".