72479009 has 2 divisors, whose sum is σ = 72479010. Its totient is φ = 72479008.

The previous prime is 72478997. The next prime is 72479047. The reversal of 72479009 is 90097427.

It is a happy number.

It is an a-pointer prime, because the next prime (72479047) can be obtained adding 72479009 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 43824400 + 28654609 = 6620^2 + 5353^2 .

It is a cyclic number.

It is not a de Polignac number, because 72479009 - 2⁴ = 72478993 is a prime.

It is not a weakly prime, because it can be changed into another prime (72479089) 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, 36239504 + 36239505.

It is an arithmetic number, because the mean of its divisors is an integer number (36239505).

Almost surely, 2^72479009 is an apocalyptic number.

It is an amenable number.

72479009 is a deficient number, since it is larger than the sum of its proper divisors (1).

72479009 is an equidigital number, since it uses as much as digits as its factorization.

72479009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 72479009 is about 8513.4604597661. The cubic root of 72479009 is about 416.9372992389.

The spelling of 72479009 in words is "seventy-two million, four hundred seventy-nine thousand, nine".