72203871744 has 400 divisors, whose sum is σ = 232236713280. Its totient is φ = 22260510720.

The previous prime is 72203871737. The next prime is 72203871781. The reversal of 72203871744 is 44717830227.

72203871744 is a `hidden beast` number, since 7 + 220 + 387 + 1 + 7 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 72203871744.

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 39 ways as a sum of consecutive naturals, for example, 33881559 + ... + 33883689.

Almost surely, 2^72203871744 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 72203871744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116118356640).

72203871744 is an abundant number, since it is smaller than the sum of its proper divisors (160032841536).

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

72203871744 is a wasteful number, since it uses less digits than its factorization.

72203871744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 72203871744 in words is "seventy-two billion, two hundred three million, eight hundred seventy-one thousand, seven hundred forty-four".