72827281 has 2 divisors, whose sum is σ = 72827282. Its totient is φ = 72827280.

The previous prime is 72827273. The next prime is 72827297. The reversal of 72827281 is 18272827.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57153600 + 15673681 = 7560^2 + 3959^2 .

It is a cyclic number.

It is not a de Polignac number, because 72827281 - 2³ = 72827273 is a prime.

It is a super-2 number, since 2×72827281² = 10607625715705922, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72827281.

It is not a weakly prime, because it can be changed into another prime (72827221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36413640 + 36413641.

It is an arithmetic number, because the mean of its divisors is an integer number (36413641).

Almost surely, 2^72827281 is an apocalyptic number.

It is an amenable number.

72827281 is a deficient number, since it is larger than the sum of its proper divisors (1).

72827281 is an equidigital number, since it uses as much as digits as its factorization.

72827281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 25088, while the sum is 37.

The square root of 72827281 is about 8533.8901445941. The cubic root of 72827281 is about 417.6040468804.

The spelling of 72827281 in words is "seventy-two million, eight hundred twenty-seven thousand, two hundred eighty-one".