72314362086480 has 960 divisors, whose sum is σ = 256653733377600. Its totient is φ = 18231978885120.

The previous prime is 72314362086443. The next prime is 72314362086521. The reversal of 72314362086480 is 8468026341327.

72314362086480 is a `hidden beast` number, since 7 + 2 + 3 + 1 + 4 + 3 + 620 + 8 + 6 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 66674345070096 + 5640017016384 = 8165436^2 + 2374872^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23410280776 + ... + 23410283864.

It is an arithmetic number, because the mean of its divisors is an integer number (267347638935).

Almost surely, 2^{72314362086480} 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 72314362086480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128326866688800).

72314362086480 is an abundant number, since it is smaller than the sum of its proper divisors (184339371291120).

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

72314362086480 is a wasteful number, since it uses less digits than its factorization.

72314362086480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 72314362086480 in words is "seventy-two trillion, three hundred fourteen billion, three hundred sixty-two million, eighty-six thousand, four hundred eighty".