72014158829184 has 512 divisors, whose sum is σ = 239077255173120. Its totient is φ = 18868985856000.

The previous prime is 72014158829089. The next prime is 72014158829203. The reversal of 72014158829184 is 48192885141027.

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, 196786539 + ... + 197152149.

It is an arithmetic number, because the mean of its divisors is an integer number (466947764010).

Almost surely, 2^{72014158829184} 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 72014158829184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119538627586560).

72014158829184 is an abundant number, since it is smaller than the sum of its proper divisors (167063096343936).

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

72014158829184 is a wasteful number, since it uses less digits than its factorization.

72014158829184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365880 (or 365868 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 60.

The spelling of 72014158829184 in words is "seventy-two trillion, fourteen billion, one hundred fifty-eight million, eight hundred twenty-nine thousand, one hundred eighty-four".