72047233 has 2 divisors, whose sum is σ = 72047234. Its totient is φ = 72047232.

The previous prime is 72047197. The next prime is 72047243. The reversal of 72047233 is 33274027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72046144 + 1089 = 8488^2 + 33^2 .

It is an emirp because it is prime and its reverse (33274027) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72047233 - 2⁹ = 72046721 is a prime.

It is not a weakly prime, because it can be changed into another prime (72047243) 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, 36023616 + 36023617.

It is an arithmetic number, because the mean of its divisors is an integer number (36023617).

Almost surely, 2^72047233 is an apocalyptic number.

It is an amenable number.

72047233 is a deficient number, since it is larger than the sum of its proper divisors (1).

72047233 is an equidigital number, since it uses as much as digits as its factorization.

72047233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056, while the sum is 28.

The square root of 72047233 is about 8488.0641491450. The cubic root of 72047233 is about 416.1077156501.

The spelling of 72047233 in words is "seventy-two million, forty-seven thousand, two hundred thirty-three".