72824201 has 2 divisors, whose sum is σ = 72824202. Its totient is φ = 72824200.

The previous prime is 72824189. The next prime is 72824221. The reversal of 72824201 is 10242827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47623801 + 25200400 = 6901^2 + 5020^2 .

It is a cyclic number.

It is not a de Polignac number, because 72824201 - 2⁶ = 72824137 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72824221) 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, 36412100 + 36412101.

It is an arithmetic number, because the mean of its divisors is an integer number (36412101).

Almost surely, 2^72824201 is an apocalyptic number.

It is an amenable number.

72824201 is a deficient number, since it is larger than the sum of its proper divisors (1).

72824201 is an equidigital number, since it uses as much as digits as its factorization.

72824201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 72824201 is about 8533.7096857111. The cubic root of 72824201 is about 417.5981597156.

The spelling of 72824201 in words is "seventy-two million, eight hundred twenty-four thousand, two hundred one".