72800281 has 2 divisors, whose sum is σ = 72800282. Its totient is φ = 72800280.

The previous prime is 72800279. The next prime is 72800393. The reversal of 72800281 is 18200827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62015625 + 10784656 = 7875^2 + 3284^2 .

It is an emirp because it is prime and its reverse (18200827) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72800281 - 2¹ = 72800279 is a prime.

It is a super-2 number, since 2×72800281² = 10599761827357922, which contains 22 as substring.

Together with 72800279, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (72800251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36400140 + 36400141.

It is an arithmetic number, because the mean of its divisors is an integer number (36400141).

Almost surely, 2^72800281 is an apocalyptic number.

It is an amenable number.

72800281 is a deficient number, since it is larger than the sum of its proper divisors (1).

72800281 is an equidigital number, since it uses as much as digits as its factorization.

72800281 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 72800281 is about 8532.3080699187. The cubic root of 72800281 is about 417.5524329668.

The spelling of 72800281 in words is "seventy-two million, eight hundred thousand, two hundred eighty-one".