71532896256 has 280 divisors, whose sum is σ = 217026911640. Its totient is φ = 23473815552.

The previous prime is 71532896249. The next prime is 71532896311. The reversal of 71532896256 is 65269823517.

71532896256 is a `hidden beast` number, since 7 + 1 + 5 + 3 + 2 + 8 + 9 + 625 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44457180 + ... + 44458788.

It is an arithmetic number, because the mean of its divisors is an integer number (775096113).

Almost surely, 2^71532896256 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 71532896256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108513455820).

71532896256 is an abundant number, since it is smaller than the sum of its proper divisors (145494015384).

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

71532896256 is an equidigital number, since it uses as much as digits as its factorization.

71532896256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1681 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 71532896256 in words is "seventy-one billion, five hundred thirty-two million, eight hundred ninety-six thousand, two hundred fifty-six".