72366069600 has 576 divisors, whose sum is σ = 288386542080. Its totient is φ = 17367091200.

The previous prime is 72366069599. The next prime is 72366069613. The reversal of 72366069600 is 696066327.

72366069600 is a `hidden beast` number, since 7 + 2 + 36 + 6 + 0 + 6 + 9 + 600 = 666.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 24471322 + ... + 24474278.

It is an arithmetic number, because the mean of its divisors is an integer number (500671080).

Almost surely, 2^72366069600 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 72366069600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144193271040).

72366069600 is an abundant number, since it is smaller than the sum of its proper divisors (216020472480).

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

72366069600 is a wasteful number, since it uses less digits than its factorization.

72366069600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 72366069600 in words is "seventy-two billion, three hundred sixty-six million, sixty-nine thousand, six hundred".