72822433 has 2 divisors, whose sum is σ = 72822434. Its totient is φ = 72822432.

The previous prime is 72822427. The next prime is 72822443. The reversal of 72822433 is 33422827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 46689889 + 26132544 = 6833^2 + 5112^2 .

It is an emirp because it is prime and its reverse (33422827) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72822433 - 2¹³ = 72814241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72822395 and 72822404.

It is not a weakly prime, because it can be changed into another prime (72822403) 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, 36411216 + 36411217.

It is an arithmetic number, because the mean of its divisors is an integer number (36411217).

Almost surely, 2^72822433 is an apocalyptic number.

It is an amenable number.

72822433 is a deficient number, since it is larger than the sum of its proper divisors (1).

72822433 is an equidigital number, since it uses as much as digits as its factorization.

72822433 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16128, while the sum is 31.

The square root of 72822433 is about 8533.6060959011. The cubic root of 72822433 is about 417.5947802552.

The spelling of 72822433 in words is "seventy-two million, eight hundred twenty-two thousand, four hundred thirty-three".