72730633 has 2 divisors, whose sum is σ = 72730634. Its totient is φ = 72730632.

The previous prime is 72730631. The next prime is 72730661. The reversal of 72730633 is 33603727.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72386064 + 344569 = 8508^2 + 587^2 .

It is a cyclic number.

It is not a de Polignac number, because 72730633 - 2¹ = 72730631 is a prime.

Together with 72730631, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 72730595 and 72730604.

It is not a weakly prime, because it can be changed into another prime (72730631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36365316 + 36365317.

It is an arithmetic number, because the mean of its divisors is an integer number (36365317).

Almost surely, 2^72730633 is an apocalyptic number.

It is an amenable number.

72730633 is a deficient number, since it is larger than the sum of its proper divisors (1).

72730633 is an equidigital number, since it uses as much as digits as its factorization.

72730633 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15876, while the sum is 31.

The square root of 72730633 is about 8528.2256654007. The cubic root of 72730633 is about 417.4192330646.

The spelling of 72730633 in words is "seventy-two million, seven hundred thirty thousand, six hundred thirty-three".