8072573600 has 576 divisors, whose sum is σ = 25898342400. Its totient is φ = 2438553600.

The previous prime is 8072573563. The next prime is 8072573623. The reversal of 8072573600 is 63752708.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110583164 + ... + 110583236.

It is an arithmetic number, because the mean of its divisors is an integer number (44962400).

Almost surely, 2^8072573600 is an apocalyptic number.

8072573600 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 8072573600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12949171200).

8072573600 is an abundant number, since it is smaller than the sum of its proper divisors (17825768800).

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

8072573600 is a wasteful number, since it uses less digits than its factorization.

8072573600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 8072573600 is about 89847.5019129636. The cubic root of 8072573600 is about 2006.0296036720.

The spelling of 8072573600 in words is "eight billion, seventy-two million, five hundred seventy-three thousand, six hundred".