72712033 has 2 divisors, whose sum is σ = 72712034. Its totient is φ = 72712032.

The previous prime is 72712027. The next prime is 72712037. The reversal of 72712033 is 33021727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72709729 + 2304 = 8527^2 + 48^2 .

It is a cyclic number.

It is not a de Polignac number, because 72712033 - 2⁵ = 72712001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72711989 and 72712007.

It is not a weakly prime, because it can be changed into another prime (72712037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36356016 + 36356017.

It is an arithmetic number, because the mean of its divisors is an integer number (36356017).

Almost surely, 2^72712033 is an apocalyptic number.

It is an amenable number.

72712033 is a deficient number, since it is larger than the sum of its proper divisors (1).

72712033 is an equidigital number, since it uses as much as digits as its factorization.

72712033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 72712033 is about 8527.1350991995. The cubic root of 72712033 is about 417.3836466853.

The spelling of 72712033 in words is "seventy-two million, seven hundred twelve thousand, thirty-three".