72413226171 has 96 divisors (see below), whose sum is σ = 127307980800. Its totient is φ = 39056290560.

The previous prime is 72413226167. The next prime is 72413226187. The reversal of 72413226171 is 17162231427.

72413226171 is a `hidden beast` number, since 7 + 2 + 4 + 1 + 32 + 2 + 617 + 1 = 666.

It is not a de Polignac number, because 72413226171 - 2² = 72413226167 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72413226131) 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 95 ways as a sum of consecutive naturals, for example, 41166390 + ... + 41168148.

It is an arithmetic number, because the mean of its divisors is an integer number (1326124800).

Almost surely, 2^72413226171 is an apocalyptic number.

72413226171 is a deficient number, since it is larger than the sum of its proper divisors (54894754629).

72413226171 is a wasteful number, since it uses less digits than its factorization.

72413226171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921 (or 2918 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

Adding to 72413226171 its reverse (17162231427), we get a palindrome (89575457598).

The spelling of 72413226171 in words is "seventy-two billion, four hundred thirteen million, two hundred twenty-six thousand, one hundred seventy-one".