72924809 has 2 divisors, whose sum is σ = 72924810. Its totient is φ = 72924808.

The previous prime is 72924757. The next prime is 72924811. The reversal of 72924809 is 90842927.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72726784 + 198025 = 8528^2 + 445^2 .

It is a cyclic number.

It is not a de Polignac number, because 72924809 - 2²⁴ = 56147593 is a prime.

Together with 72924811, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72921809) 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, 36462404 + 36462405.

It is an arithmetic number, because the mean of its divisors is an integer number (36462405).

Almost surely, 2^72924809 is an apocalyptic number.

It is an amenable number.

72924809 is a deficient number, since it is larger than the sum of its proper divisors (1).

72924809 is an equidigital number, since it uses as much as digits as its factorization.

72924809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 72924809 is about 8539.6023912124. The cubic root of 72924809 is about 417.7903777894.

The spelling of 72924809 in words is "seventy-two million, nine hundred twenty-four thousand, eight hundred nine".