71723268288 has 560 divisors, whose sum is σ = 249255198720. Its totient is φ = 19971753984.

The previous prime is 71723268271. The next prime is 71723268301. The reversal of 71723268288 is 88286232717.

71723268288 is a `hidden beast` number, since 71 + 7 + 232 + 68 + 288 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 364077406 + ... + 364077602.

Almost surely, 2^71723268288 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 71723268288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124627599360).

71723268288 is an abundant number, since it is smaller than the sum of its proper divisors (177531930432).

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

71723268288 is a wasteful number, since it uses less digits than its factorization.

71723268288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 415 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 71723268288 in words is "seventy-one billion, seven hundred twenty-three million, two hundred sixty-eight thousand, two hundred eighty-eight".