71752534784 has 144 divisors (see below), whose sum is σ = 169577271360. Its totient is φ = 29661265920.

The previous prime is 71752534747. The next prime is 71752534787. The reversal of 71752534784 is 48743525717.

It is not an unprimeable number, because it can be changed into a prime (71752534787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6533522 + ... + 6544494.

It is an arithmetic number, because the mean of its divisors is an integer number (1177619940).

Almost surely, 2^71752534784 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 71752534784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84788635680).

71752534784 is an abundant number, since it is smaller than the sum of its proper divisors (97824736576).

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

71752534784 is a wasteful number, since it uses less digits than its factorization.

71752534784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11126 (or 11112 counting only the distinct ones).

The product of its digits is 6585600, while the sum is 53.

The spelling of 71752534784 in words is "seventy-one billion, seven hundred fifty-two million, five hundred thirty-four thousand, seven hundred eighty-four".