72014394816 has 448 divisors, whose sum is σ = 261425740800. Its totient is φ = 18930143232.

The previous prime is 72014394811. The next prime is 72014394847. The reversal of 72014394816 is 61849341027.

72014394816 is a `hidden beast` number, since 7 + 20 + 143 + 9 + 481 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72014394811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65886366 + ... + 65887458.

It is an arithmetic number, because the mean of its divisors is an integer number (583539600).

Almost surely, 2^72014394816 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 72014394816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130712870400).

72014394816 is an abundant number, since it is smaller than the sum of its proper divisors (189411345984).

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

72014394816 is a wasteful number, since it uses less digits than its factorization.

72014394816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 72014394816 in words is "seventy-two billion, fourteen million, three hundred ninety-four thousand, eight hundred sixteen".