72618931441 has 27 divisors (see below), whose sum is σ = 85400101857. Its totient is φ = 61570561920.

The previous prime is 72618931439. The next prime is 72618931519. The reversal of 72618931441 is 14413981627.

The square root of 72618931441 is 269479.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5073000625 + 67545930816 = 71225^2 + 259896^2 .

It is not a de Polignac number, because 72618931441 - 2¹ = 72618931439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72618931391 and 72618931400.

It is not an unprimeable number, because it can be changed into a prime (72618431441) 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 26 ways as a sum of consecutive naturals, for example, 258430221 + ... + 258430501.

Almost surely, 2^72618931441 is an apocalyptic number.

72618931441 is the 269479-th square number.

72618931441 is the 134740-th centered octagonal number.

It is an amenable number.

72618931441 is a deficient number, since it is larger than the sum of its proper divisors (12781170416).

72618931441 is an frugal number, since it uses more digits than its factorization.

72618931441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 425 counting only the distinct ones).

The product of its digits is 290304, while the sum is 46.

The spelling of 72618931441 in words is "seventy-two billion, six hundred eighteen million, nine hundred thirty-one thousand, four hundred forty-one".