72023009 has 2 divisors, whose sum is σ = 72023010. Its totient is φ = 72023008.

The previous prime is 72022997. The next prime is 72023023. The reversal of 72023009 is 90032027.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70140625 + 1882384 = 8375^2 + 1372^2 .

It is an emirp because it is prime and its reverse (90032027) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72023009 is a prime.

It is a super-4 number, since 4×72023009⁴ (a number of 33 digits) contains 4444 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72023069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36011504 + 36011505.

It is an arithmetic number, because the mean of its divisors is an integer number (36011505).

Almost surely, 2^72023009 is an apocalyptic number.

It is an amenable number.

72023009 is a deficient number, since it is larger than the sum of its proper divisors (1).

72023009 is an equidigital number, since it uses as much as digits as its factorization.

72023009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 72023009 is about 8486.6370842637. The cubic root of 72023009 is about 416.0610753060.

The spelling of 72023009 in words is "seventy-two million, twenty-three thousand, nine".