72008335510689 has 32 divisors (see below), whose sum is σ = 97183371914496. Its totient is φ = 47421342904320.

The previous prime is 72008335510589. The next prime is 72008335510729. The reversal of 72008335510689 is 98601553380027.

It is a happy number.

It is not a de Polignac number, because 72008335510689 - 2²⁷ = 72008201292961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72008335510589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 534091324 + ... + 534226130.

It is an arithmetic number, because the mean of its divisors is an integer number (3036980372328).

Almost surely, 2^{72008335510689} is an apocalyptic number.

It is an amenable number.

72008335510689 is a deficient number, since it is larger than the sum of its proper divisors (25175036403807).

72008335510689 is a wasteful number, since it uses less digits than its factorization.

72008335510689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138345.

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 72008335510689 in words is "seventy-two trillion, eight billion, three hundred thirty-five million, five hundred ten thousand, six hundred eighty-nine".