72307033 has 2 divisors, whose sum is σ = 72307034. Its totient is φ = 72307032.

The previous prime is 72307019. The next prime is 72307049. The reversal of 72307033 is 33070327.

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., 71961289 + 345744 = 8483^2 + 588^2 .

It is an emirp because it is prime and its reverse (33070327) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72307033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72306989 and 72307007.

It is not a weakly prime, because it can be changed into another prime (72307633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36153516 + 36153517.

It is an arithmetic number, because the mean of its divisors is an integer number (36153517).

Almost surely, 2^72307033 is an apocalyptic number.

It is an amenable number.

72307033 is a deficient number, since it is larger than the sum of its proper divisors (1).

72307033 is an equidigital number, since it uses as much as digits as its factorization.

72307033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646, while the sum is 25.

The square root of 72307033 is about 8503.3542205414. The cubic root of 72307033 is about 416.6072726718.

The spelling of 72307033 in words is "seventy-two million, three hundred seven thousand, thirty-three".