72835033 has 2 divisors, whose sum is σ = 72835034. Its totient is φ = 72835032.

The previous prime is 72835003. The next prime is 72835051. The reversal of 72835033 is 33053827.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57562569 + 15272464 = 7587^2 + 3908^2 .

It is a cyclic number.

It is not a de Polignac number, because 72835033 - 2⁹ = 72834521 is a prime.

It is a super-2 number, since 2×72835033² = 10609884064222178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72834986 and 72835004.

It is not a weakly prime, because it can be changed into another prime (72835003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36417516 + 36417517.

It is an arithmetic number, because the mean of its divisors is an integer number (36417517).

Almost surely, 2^72835033 is an apocalyptic number.

It is an amenable number.

72835033 is a deficient number, since it is larger than the sum of its proper divisors (1).

72835033 is an equidigital number, since it uses as much as digits as its factorization.

72835033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 72835033 is about 8534.3443216219. The cubic root of 72835033 is about 417.6188634513.

The spelling of 72835033 in words is "seventy-two million, eight hundred thirty-five thousand, thirty-three".