71652225617 has 32 divisors (see below), whose sum is σ = 87196538880. Its totient is φ = 57476609280.

The previous prime is 71652225613. The next prime is 71652225653.

71652225617 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 71652225617 - 2² = 71652225613 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71652225613) 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, 35629142 + ... + 35631152.

It is an arithmetic number, because the mean of its divisors is an integer number (2724891840).

Almost surely, 2^71652225617 is an apocalyptic number.

It is an amenable number.

71652225617 is a deficient number, since it is larger than the sum of its proper divisors (15544313263).

71652225617 is a wasteful number, since it uses less digits than its factorization.

71652225617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581.

The product of its digits is 352800, while the sum is 44.

The spelling of 71652225617 in words is "seventy-one billion, six hundred fifty-two million, two hundred twenty-five thousand, six hundred seventeen".