72181684224 has 336 divisors, whose sum is σ = 233101486800. Its totient is φ = 22203777024.

The previous prime is 72181684219. The next prime is 72181684273. The reversal of 72181684224 is 42248618127.

72181684224 is a `hidden beast` number, since 7 + 218 + 1 + 6 + 8 + 422 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 72181684224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 19407037 + ... + 19410755.

It is an arithmetic number, because the mean of its divisors is an integer number (693754425).

Almost surely, 2^72181684224 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 72181684224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116550743400).

72181684224 is an abundant number, since it is smaller than the sum of its proper divisors (160919802576).

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

72181684224 is an equidigital number, since it uses as much as digits as its factorization.

72181684224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3772 (or 3737 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The spelling of 72181684224 in words is "seventy-two billion, one hundred eighty-one million, six hundred eighty-four thousand, two hundred twenty-four".