72339999214080 has 640 divisors, whose sum is σ = 259221591256320. Its totient is φ = 17087154094080.

The previous prime is 72339999214073. The next prime is 72339999214099. The reversal of 72339999214080 is 8041299993327.

72339999214080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 471867040 + ... + 472020320.

It is an arithmetic number, because the mean of its divisors is an integer number (405033736338).

Almost surely, 2^{72339999214080} 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 72339999214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129610795628160).

72339999214080 is an abundant number, since it is smaller than the sum of its proper divisors (186881592042240).

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

72339999214080 is a wasteful number, since it uses less digits than its factorization.

72339999214080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153512 (or 153496 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 66.

The spelling of 72339999214080 in words is "seventy-two trillion, three hundred thirty-nine billion, nine hundred ninety-nine million, two hundred fourteen thousand, eighty".