72815107680 has 384 divisors, whose sum is σ = 291839708160. Its totient is φ = 16610365440.

The previous prime is 72815107663. The next prime is 72815107709. The reversal of 72815107680 is 8670151827.

It is a happy number.

72815107680 is a `hidden beast` number, since 72 + 8 + 1 + 510 + 7 + 68 + 0 = 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 63 ways as a sum of consecutive naturals, for example, 17264932 + ... + 17269148.

It is an arithmetic number, because the mean of its divisors is an integer number (759999240).

Almost surely, 2^72815107680 is an apocalyptic number.

72815107680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72815107680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145919854080).

72815107680 is an abundant number, since it is smaller than the sum of its proper divisors (219024600480).

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

72815107680 is a wasteful number, since it uses less digits than its factorization.

72815107680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4819 (or 4805 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 72815107680 in words is "seventy-two billion, eight hundred fifteen million, one hundred seven thousand, six hundred eighty".