71776881825 has 96 divisors (see below), whose sum is σ = 133279862400. Its totient is φ = 33778483200.

The previous prime is 71776881779. The next prime is 71776881829. The reversal of 71776881825 is 52818867717.

71776881825 is digitally balanced in base 11, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 71776881825 - 2⁷ = 71776881697 is a prime.

71776881825 is strictly pandigital in base 11.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (71776881829) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13703107 + ... + 13708343.

It is an arithmetic number, because the mean of its divisors is an integer number (1388331900).

Almost surely, 2^71776881825 is an apocalyptic number.

71776881825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

71776881825 is a deficient number, since it is larger than the sum of its proper divisors (61502980575).

71776881825 is a wasteful number, since it uses less digits than its factorization.

71776881825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5747 (or 5742 counting only the distinct ones).

The product of its digits is 10536960, while the sum is 60.

The spelling of 71776881825 in words is "seventy-one billion, seven hundred seventy-six million, eight hundred eighty-one thousand, eight hundred twenty-five".