72327833 has 2 divisors, whose sum is σ = 72327834. Its totient is φ = 72327832.

The previous prime is 72327799. The next prime is 72327839. The reversal of 72327833 is 33872327.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69272329 + 3055504 = 8323^2 + 1748^2 .

It is a cyclic number.

It is not a de Polignac number, because 72327833 - 2¹⁰ = 72326809 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 72327793 and 72327802.

It is not a weakly prime, because it can be changed into another prime (72327839) 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, 36163916 + 36163917.

It is an arithmetic number, because the mean of its divisors is an integer number (36163917).

Almost surely, 2^72327833 is an apocalyptic number.

It is an amenable number.

72327833 is a deficient number, since it is larger than the sum of its proper divisors (1).

72327833 is an equidigital number, since it uses as much as digits as its factorization.

72327833 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42336, while the sum is 35.

The square root of 72327833 is about 8504.5771793782. The cubic root of 72327833 is about 416.6472162298.

The spelling of 72327833 in words is "seventy-two million, three hundred twenty-seven thousand, eight hundred thirty-three".