72134449202718 has 192 divisors, whose sum is σ = 183626089920000. Its totient is φ = 20455894763136.

The previous prime is 72134449202687. The next prime is 72134449202719. The reversal of 72134449202718 is 81720294443127.

72134449202718 is a `hidden beast` number, since 7 + 2 + 1 + 344 + 4 + 9 + 20 + 271 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72134449202719) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3824925573 + ... + 3824944431.

It is an arithmetic number, because the mean of its divisors is an integer number (956385885000).

Almost surely, 2^{72134449202718} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72134449202718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91813044960000).

72134449202718 is an abundant number, since it is smaller than the sum of its proper divisors (111491640717282).

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

72134449202718 is a wasteful number, since it uses less digits than its factorization.

72134449202718 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23484 (or 23467 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 72134449202718 in words is "seventy-two trillion, one hundred thirty-four billion, four hundred forty-nine million, two hundred two thousand, seven hundred eighteen".