72715976281 has 9 divisors (see below), whose sum is σ = 78743581119. Its totient is φ = 67119203736.

The previous prime is 72715976237. The next prime is 72715976287. The reversal of 72715976281 is 18267951727.

The square root of 72715976281 is 269659.

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

It can be written as a sum of positive squares in only one way, i.e., 10756801225 + 61959175056 = 103715^2 + 248916^2 .

It is not a de Polignac number, because 72715976281 - 2¹³ = 72715968089 is a prime.

It is a super-2 number, since 2×72715976281² (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 (72715976287) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3495196 + ... + 3515938.

It is an arithmetic number, because the mean of its divisors is an integer number (8749286791).

Almost surely, 2^72715976281 is an apocalyptic number.

72715976281 is the 269659-th square number.

72715976281 is the 134830-th centered octagonal number.

It is an amenable number.

72715976281 is a deficient number, since it is larger than the sum of its proper divisors (6027604838).

72715976281 is an frugal number, since it uses more digits than its factorization.

72715976281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41512 (or 20756 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 55.

The spelling of 72715976281 in words is "seventy-two billion, seven hundred fifteen million, nine hundred seventy-six thousand, two hundred eighty-one".