72114268681 has 45 divisors (see below), whose sum is σ = 91280560209. Its totient is φ = 56806088976.

The previous prime is 72114268657. The next prime is 72114268703. The reversal of 72114268681 is 18686241127.

The square root of 72114268681 is 268541.

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

It can be written as a sum of positive squares in 2 ways, for example, as 35755406281 + 36358862400 = 189091^2 + 190680^2 .

It is not a de Polignac number, because 72114268681 - 2⁷ = 72114268553 is a prime.

It is a super-2 number, since 2×72114268681² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72114268081) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 317683890 + ... + 317684116.

Almost surely, 2^72114268681 is an apocalyptic number.

72114268681 is the 268541-st square number.

72114268681 is the 134271-st centered octagonal number.

It is an amenable number.

72114268681 is a deficient number, since it is larger than the sum of its proper divisors (19166291528).

72114268681 is an frugal number, since it uses more digits than its factorization.

72114268681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 247 counting only the distinct ones).

The product of its digits is 258048, while the sum is 46.

The spelling of 72114268681 in words is "seventy-two billion, one hundred fourteen million, two hundred sixty-eight thousand, six hundred eighty-one".