71575106501752 has 256 divisors, whose sum is σ = 166091409792000. Its totient is φ = 28222533181440.

The previous prime is 71575106501741. The next prime is 71575106501777. The reversal of 71575106501752 is 25710560157517.

It is a self number, because there is not a number n which added to its sum of digits gives 71575106501752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3612522598 + ... + 3612542410.

It is an arithmetic number, because the mean of its divisors is an integer number (648794569500).

Almost surely, 2^{71575106501752} 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 71575106501752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83045704896000).

71575106501752 is an abundant number, since it is smaller than the sum of its proper divisors (94516303290248).

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

71575106501752 is a wasteful number, since it uses less digits than its factorization.

71575106501752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20406 (or 20402 counting only the distinct ones).

The product of its (nonzero) digits is 2572500, while the sum is 52.

The spelling of 71575106501752 in words is "seventy-one trillion, five hundred seventy-five billion, one hundred six million, five hundred one thousand, seven hundred fifty-two".