72850557600 has 360 divisors, whose sum is σ = 268049835900. Its totient is φ = 19252961280.

The previous prime is 72850557541. The next prime is 72850557617. The reversal of 72850557600 is 675505827.

72850557600 is a `hidden beast` number, since 7 + 28 + 50 + 5 + 576 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4973634576 + 67876923024 = 70524^2 + 260532^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7317426 + ... + 7327374.

Almost surely, 2^72850557600 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 72850557600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134024917950).

72850557600 is an abundant number, since it is smaller than the sum of its proper divisors (195199278300).

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

72850557600 is a wasteful number, since it uses less digits than its factorization.

72850557600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10094 (or 10072 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 72850557600 in words is "seventy-two billion, eight hundred fifty million, five hundred fifty-seven thousand, six hundred".