72338509 has 2 divisors, whose sum is σ = 72338510. Its totient is φ = 72338508.

The previous prime is 72338507. The next prime is 72338521. The reversal of 72338509 is 90583327.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59629284 + 12709225 = 7722^2 + 3565^2 .

It is a cyclic number.

It is not a de Polignac number, because 72338509 - 2¹ = 72338507 is a prime.

Together with 72338507, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72338503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36169254 + 36169255.

It is an arithmetic number, because the mean of its divisors is an integer number (36169255).

Almost surely, 2^72338509 is an apocalyptic number.

It is an amenable number.

72338509 is a deficient number, since it is larger than the sum of its proper divisors (1).

72338509 is an equidigital number, since it uses as much as digits as its factorization.

72338509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 72338509 is about 8505.2048182275. The cubic root of 72338509 is about 416.6677150551.

The spelling of 72338509 in words is "seventy-two million, three hundred thirty-eight thousand, five hundred nine".