71268232320 has 960 divisors, whose sum is σ = 278263719360. Its totient is φ = 17371791360.

The previous prime is 71268232261. The next prime is 71268232351. The reversal of 71268232320 is 2323286217.

71268232320 is a `hidden beast` number, since 71 + 268 + 2 + 3 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 119 ways as a sum of consecutive naturals, for example, 1003777885 + ... + 1003777955.

It is an arithmetic number, because the mean of its divisors is an integer number (289858041).

Almost surely, 2^71268232320 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 71268232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139131859680).

71268232320 is an abundant number, since it is smaller than the sum of its proper divisors (206995487040).

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

71268232320 is a wasteful number, since it uses less digits than its factorization.

71268232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 71268232320 in words is "seventy-one billion, two hundred sixty-eight million, two hundred thirty-two thousand, three hundred twenty".