72200833 has 2 divisors, whose sum is σ = 72200834. Its totient is φ = 72200832.

The previous prime is 72200831. The next prime is 72200851. The reversal of 72200833 is 33800227.

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., 62916624 + 9284209 = 7932^2 + 3047^2 .

It is a cyclic number.

It is not a de Polignac number, because 72200833 - 2¹ = 72200831 is a prime.

Together with 72200831, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 72200798 and 72200807.

It is not a weakly prime, because it can be changed into another prime (72200831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36100416 + 36100417.

It is an arithmetic number, because the mean of its divisors is an integer number (36100417).

Almost surely, 2^72200833 is an apocalyptic number.

It is an amenable number.

72200833 is a deficient number, since it is larger than the sum of its proper divisors (1).

72200833 is an equidigital number, since it uses as much as digits as its factorization.

72200833 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 72200833 is about 8497.1073313216. The cubic root of 72200833 is about 416.4032105910.

The spelling of 72200833 in words is "seventy-two million, two hundred thousand, eight hundred thirty-three".