71752441068 has 432 divisors, whose sum is σ = 238419417600. Its totient is φ = 17977800960.

The previous prime is 71752441037. The next prime is 71752441081. The reversal of 71752441068 is 86014425717.

71752441068 is a `hidden beast` number, since 7 + 17 + 524 + 4 + 106 + 8 = 666.

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 143 ways as a sum of consecutive naturals, for example, 99794413 + ... + 99795131.

It is an arithmetic number, because the mean of its divisors is an integer number (551896800).

Almost surely, 2^71752441068 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 71752441068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119209708800).

71752441068 is an abundant number, since it is smaller than the sum of its proper divisors (166666976532).

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

71752441068 is a wasteful number, since it uses less digits than its factorization.

71752441068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 71752441068 in words is "seventy-one billion, seven hundred fifty-two million, four hundred forty-one thousand, sixty-eight".