72321833 has 2 divisors, whose sum is σ = 72321834. Its totient is φ = 72321832.

The previous prime is 72321817. The next prime is 72321841. The reversal of 72321833 is 33812327.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71453209 + 868624 = 8453^2 + 932^2 .

It is a cyclic number.

It is not a de Polignac number, because 72321833 - 2⁴ = 72321817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72321796 and 72321805.

It is not a weakly prime, because it can be changed into another prime (72321803) 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, 36160916 + 36160917.

It is an arithmetic number, because the mean of its divisors is an integer number (36160917).

Almost surely, 2^72321833 is an apocalyptic number.

It is an amenable number.

72321833 is a deficient number, since it is larger than the sum of its proper divisors (1).

72321833 is an equidigital number, since it uses as much as digits as its factorization.

72321833 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6048, while the sum is 29.

The square root of 72321833 is about 8504.2244208393. The cubic root of 72321833 is about 416.6356948356.

The spelling of 72321833 in words is "seventy-two million, three hundred twenty-one thousand, eight hundred thirty-three".