72687825697 has 4 divisors (see below), whose sum is σ = 72726886036. Its totient is φ = 72648765360.

The previous prime is 72687825659. The next prime is 72687825713. The reversal of 72687825697 is 79652878627.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 79652878627 = 7 ⋅11378982661.

It can be written as a sum of positive squares in 2 ways, for example, as 6551931136 + 66135894561 = 80944^2 + 257169^2 .

It is a cyclic number.

It is not a de Polignac number, because 72687825697 - 2²⁷ = 72553607969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72687825097) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19527378 + ... + 19531099.

It is an arithmetic number, because the mean of its divisors is an integer number (18181721509).

Almost surely, 2^72687825697 is an apocalyptic number.

It is an amenable number.

72687825697 is a deficient number, since it is larger than the sum of its proper divisors (39060339).

72687825697 is a wasteful number, since it uses less digits than its factorization.

72687825697 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39060338.

The product of its digits is 142248960, while the sum is 67.

The spelling of 72687825697 in words is "seventy-two billion, six hundred eighty-seven million, eight hundred twenty-five thousand, six hundred ninety-seven".