71997845760 has 576 divisors, whose sum is σ = 271789862400. Its totient is φ = 18007621632.

The previous prime is 71997845729. The next prime is 71997845761. The reversal of 71997845760 is 6754879917.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (71997845761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42127786 + ... + 42129494.

It is an arithmetic number, because the mean of its divisors is an integer number (471857400).

Almost surely, 2^71997845760 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 71997845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135894931200).

71997845760 is an abundant number, since it is smaller than the sum of its proper divisors (199792016640).

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

71997845760 is a wasteful number, since it uses less digits than its factorization.

71997845760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 71997845760 in words is "seventy-one billion, nine hundred ninety-seven million, eight hundred forty-five thousand, seven hundred sixty".