71825224132608 has 384 divisors, whose sum is σ = 195264578396160. Its totient is φ = 23474470256640.

The previous prime is 71825224132591. The next prime is 71825224132609. The reversal of 71825224132608 is 80623142252817.

71825224132608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (71825224132609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76654454316 + ... + 76654455252.

It is an arithmetic number, because the mean of its divisors is an integer number (508501506240).

Almost surely, 2^{71825224132608} 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 71825224132608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97632289198080).

71825224132608 is an abundant number, since it is smaller than the sum of its proper divisors (123439354263552).

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

71825224132608 is a wasteful number, since it uses less digits than its factorization.

71825224132608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 71825224132608 in words is "seventy-one trillion, eight hundred twenty-five billion, two hundred twenty-four million, one hundred thirty-two thousand, six hundred eight".