71752472064 has 480 divisors, whose sum is σ = 256936680000. Its totient is φ = 18770558976.

The previous prime is 71752472009. The next prime is 71752472117. The reversal of 71752472064 is 46027425717.

71752472064 is a `hidden beast` number, since 7 + 175 + 2 + 472 + 0 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57447312 + ... + 57448560.

It is an arithmetic number, because the mean of its divisors is an integer number (535284750).

Almost surely, 2^71752472064 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 71752472064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128468340000).

71752472064 is an abundant number, since it is smaller than the sum of its proper divisors (185184207936).

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

71752472064 is a wasteful number, since it uses less digits than its factorization.

71752472064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 71752472064 in words is "seventy-one billion, seven hundred fifty-two million, four hundred seventy-two thousand, sixty-four".