72333257 has 2 divisors, whose sum is σ = 72333258. Its totient is φ = 72333256.

The previous prime is 72333241. The next prime is 72333259. The reversal of 72333257 is 75233327.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66520336 + 5812921 = 8156^2 + 2411^2 .

It is a cyclic number.

It is not a de Polignac number, because 72333257 - 2⁴ = 72333241 is a prime.

Together with 72333259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72333259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36166628 + 36166629.

It is an arithmetic number, because the mean of its divisors is an integer number (36166629).

Almost surely, 2^72333257 is an apocalyptic number.

It is an amenable number.

72333257 is a deficient number, since it is larger than the sum of its proper divisors (1).

72333257 is an equidigital number, since it uses as much as digits as its factorization.

72333257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 26460, while the sum is 32.

The square root of 72333257 is about 8504.8960605054. The cubic root of 72333257 is about 416.6576310218.

The spelling of 72333257 in words is "seventy-two million, three hundred thirty-three thousand, two hundred fifty-seven".