71728784064 has 420 divisors, whose sum is σ = 255347906880. Its totient is φ = 19830666240.

The previous prime is 71728784041. The next prime is 71728784123. The reversal of 71728784064 is 46048782717.

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

It is a self number, because there is not a number n which added to its sum of digits gives 71728784064.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7869942 + ... + 7879050.

Almost surely, 2^71728784064 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 71728784064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127673953440).

71728784064 is an abundant number, since it is smaller than the sum of its proper divisors (183619122816).

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

71728784064 is a wasteful number, since it uses less digits than its factorization.

71728784064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9178 (or 9152 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 71728784064 in words is "seventy-one billion, seven hundred twenty-eight million, seven hundred eighty-four thousand, sixty-four".