72082033 has 2 divisors, whose sum is σ = 72082034. Its totient is φ = 72082032.

The previous prime is 72082013. The next prime is 72082123. The reversal of 72082033 is 33028027.

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., 70425664 + 1656369 = 8392^2 + 1287^2 .

It is an emirp because it is prime and its reverse (33028027) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72082033 - 2⁹ = 72081521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72081989 and 72082007.

It is not a weakly prime, because it can be changed into another prime (72082013) 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, 36041016 + 36041017.

It is an arithmetic number, because the mean of its divisors is an integer number (36041017).

Almost surely, 2^72082033 is an apocalyptic number.

It is an amenable number.

72082033 is a deficient number, since it is larger than the sum of its proper divisors (1).

72082033 is an equidigital number, since it uses as much as digits as its factorization.

72082033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 72082033 is about 8490.1138390483. The cubic root of 72082033 is about 416.1747004927.

The spelling of 72082033 in words is "seventy-two million, eighty-two thousand, thirty-three".