72823335928281 has 27 divisors (see below), whose sum is σ = 106540586103861. Its totient is φ = 47933016448824.

The previous prime is 72823335928249. The next prime is 72823335928283. The reversal of 72823335928281 is 18282953332827.

It is a happy number.

The square root of 72823335928281 is 8533659.

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

72823335928281 is a `hidden beast` number, since 7 + 2 + 8 + 2 + 3 + 33 + 592 + 8 + 2 + 8 + 1 = 666.

It is not a de Polignac number, because 72823335928281 - 2⁵ = 72823335928249 is a prime.

It is a super-3 number, since 3×72823335928281³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (72823335928283) 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, 2022459180 + ... + 2022495186.

Almost surely, 2^{72823335928281} is an apocalyptic number.

72823335928281 is the 8533659-th square number.

72823335928281 is the 4266830-th centered octagonal number.

It is an amenable number.

72823335928281 is a deficient number, since it is larger than the sum of its proper divisors (33717250175580).

72823335928281 is an frugal number, since it uses more digits than its factorization.

72823335928281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72178 (or 36089 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 72823335928281 in words is "seventy-two trillion, eight hundred twenty-three billion, three hundred thirty-five million, nine hundred twenty-eight thousand, two hundred eighty-one".