72803059200 has 1200 divisors, whose sum is σ = 291755540736. Its totient is φ = 17882726400.

The previous prime is 72803059187. The next prime is 72803059207. The reversal of 72803059200 is 295030827.

It is a happy number.

72803059200 is a `hidden beast` number, since 72 + 80 + 305 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72803059207) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1025395165 + ... + 1025395235.

Almost surely, 2^72803059200 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 72803059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145877770368).

72803059200 is an abundant number, since it is smaller than the sum of its proper divisors (218952481536).

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

72803059200 is a wasteful number, since it uses less digits than its factorization.

72803059200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 72803059200 in words is "seventy-two billion, eight hundred three million, fifty-nine thousand, two hundred".