9255072000 has 576 divisors, whose sum is σ = 33473067264. Its totient is φ = 2257715200.

The previous prime is 9255071999. The next prime is 9255072023. The reversal of 9255072000 is 2705529.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86495947 + ... + 86496053.

It is an arithmetic number, because the mean of its divisors is an integer number (58112964).

Almost surely, 2^9255072000 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 9255072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16736533632).

9255072000 is an abundant number, since it is smaller than the sum of its proper divisors (24217995264).

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

9255072000 is a wasteful number, since it uses less digits than its factorization.

9255072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 9255072000 is about 96203.2847672053. The cubic root of 9255072000 is about 2099.5518317993.

Adding to 9255072000 its reverse (2705529), we get a palindrome (9257777529).

The spelling of 9255072000 in words is "nine billion, two hundred fifty-five million, seventy-two thousand".