72286301 has 2 divisors, whose sum is σ = 72286302. Its totient is φ = 72286300.

The previous prime is 72286289. The next prime is 72286351. The reversal of 72286301 is 10368227.

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., 69139225 + 3147076 = 8315^2 + 1774^2 .

It is an emirp because it is prime and its reverse (10368227) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72286301 - 2⁶ = 72286237 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72286351) 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, 36143150 + 36143151.

It is an arithmetic number, because the mean of its divisors is an integer number (36143151).

Almost surely, 2^72286301 is an apocalyptic number.

It is an amenable number.

72286301 is a deficient number, since it is larger than the sum of its proper divisors (1).

72286301 is an equidigital number, since it uses as much as digits as its factorization.

72286301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 72286301 is about 8502.1350847890. The cubic root of 72286301 is about 416.5674520752.

The spelling of 72286301 in words is "seventy-two million, two hundred eighty-six thousand, three hundred one".