72716137164 has 288 divisors, whose sum is σ = 213922695168. Its totient is φ = 20621952000.

The previous prime is 72716137099. The next prime is 72716137171. The reversal of 72716137164 is 46173161727.

72716137164 is a `hidden beast` number, since 7 + 27 + 1 + 613 + 7 + 1 + 6 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47495079 + ... + 47496609.

It is an arithmetic number, because the mean of its divisors is an integer number (742787136).

Almost surely, 2^72716137164 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 72716137164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106961347584).

72716137164 is an abundant number, since it is smaller than the sum of its proper divisors (141206558004).

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

72716137164 is a wasteful number, since it uses less digits than its factorization.

72716137164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1704 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The spelling of 72716137164 in words is "seventy-two billion, seven hundred sixteen million, one hundred thirty-seven thousand, one hundred sixty-four".