72821436640 has 96 divisors (see below), whose sum is σ = 183279348000. Its totient is φ = 27246772224.

The previous prime is 72821436619. The next prime is 72821436647. The reversal of 72821436640 is 4663412827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72821436647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361236 + ... + 525484.

It is an arithmetic number, because the mean of its divisors is an integer number (1909159875).

Almost surely, 2^72821436640 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 72821436640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91639674000).

72821436640 is an abundant number, since it is smaller than the sum of its proper divisors (110457911360).

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

72821436640 is a wasteful number, since it uses less digits than its factorization.

72821436640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164444 (or 164436 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The spelling of 72821436640 in words is "seventy-two billion, eight hundred twenty-one million, four hundred thirty-six thousand, six hundred forty".