8572752000 has 384 divisors, whose sum is σ = 31638625200. Its totient is φ = 2222899200.

The previous prime is 8572751953. The next prime is 8572752011. The reversal of 8572752000 is 2572758.

It can be written as a sum of positive squares in 8 ways, for example, as 3771925056 + 4800826944 = 61416^2 + 69288^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5327196 + ... + 5328804.

Almost surely, 2^8572752000 is an apocalyptic number.

8572752000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8572752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15819312600).

8572752000 is an abundant number, since it is smaller than the sum of its proper divisors (23065873200).

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

8572752000 is a wasteful number, since it uses less digits than its factorization.

8572752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 8572752000 is about 92589.1570325597. The cubic root of 8572752000 is about 2046.6335387527.

The spelling of 8572752000 in words is "eight billion, five hundred seventy-two million, seven hundred fifty-two thousand".