72627809 has 2 divisors, whose sum is σ = 72627810. Its totient is φ = 72627808.

The previous prime is 72627733. The next prime is 72627847. The reversal of 72627809 is 90872627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71910400 + 717409 = 8480^2 + 847^2 .

It is an emirp because it is prime and its reverse (90872627) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72627809 - 2¹² = 72623713 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72627869) 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, 36313904 + 36313905.

It is an arithmetic number, because the mean of its divisors is an integer number (36313905).

Almost surely, 2^72627809 is an apocalyptic number.

It is an amenable number.

72627809 is a deficient number, since it is larger than the sum of its proper divisors (1).

72627809 is an equidigital number, since it uses as much as digits as its factorization.

72627809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 72627809 is about 8522.1950810809. The cubic root of 72627809 is about 417.2224294348. Note that the first 3 decimals are identical.

The spelling of 72627809 in words is "seventy-two million, six hundred twenty-seven thousand, eight hundred nine".