71916768000 has 2304 divisors, whose sum is σ = 352638074880. Its totient is φ = 13989888000.

The previous prime is 71916767959. The next prime is 71916768019. The reversal of 71916768000 is 86761917.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1530143977 + ... + 1530144023.

It is an arithmetic number, because the mean of its divisors is an integer number (153054720).

Almost surely, 2^71916768000 is an apocalyptic number.

71916768000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71916768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176319037440).

71916768000 is an abundant number, since it is smaller than the sum of its proper divisors (280721306880).

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

71916768000 is a wasteful number, since it uses less digits than its factorization.

71916768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 71916768000 in words is "seventy-one billion, nine hundred sixteen million, seven hundred sixty-eight thousand".