72869666961 has 32 divisors (see below), whose sum is σ = 120117329920. Its totient is φ = 38264353344.

The previous prime is 72869666953. The next prime is 72869666963. The reversal of 72869666961 is 16966696827.

It is not a de Polignac number, because 72869666961 - 2³ = 72869666953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72869666892 and 72869666901.

It is not an unprimeable number, because it can be changed into a prime (72869666963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 537601 + ... + 659358.

It is an arithmetic number, because the mean of its divisors is an integer number (3753666560).

Almost surely, 2^72869666961 is an apocalyptic number.

It is an amenable number.

72869666961 is a deficient number, since it is larger than the sum of its proper divisors (47247662959).

72869666961 is a wasteful number, since it uses less digits than its factorization.

72869666961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197205.

The product of its digits is 70543872, while the sum is 66.

It can be divided in two parts, 7286966 and 6961, that added together give a palindrome (7293927).

The spelling of 72869666961 in words is "seventy-two billion, eight hundred sixty-nine million, six hundred sixty-six thousand, nine hundred sixty-one".