72758009 has 2 divisors, whose sum is σ = 72758010. Its totient is φ = 72758008.

The previous prime is 72757999. The next prime is 72758017. The reversal of 72758009 is 90085727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36421225 + 36336784 = 6035^2 + 6028^2 .

It is an emirp because it is prime and its reverse (90085727) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72758009 is a prime.

It is not a weakly prime, because it can be changed into another prime (72758099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36379004 + 36379005.

It is an arithmetic number, because the mean of its divisors is an integer number (36379005).

Almost surely, 2^72758009 is an apocalyptic number.

It is an amenable number.

72758009 is a deficient number, since it is larger than the sum of its proper divisors (1).

72758009 is an equidigital number, since it uses as much as digits as its factorization.

72758009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 35280, while the sum is 38.

The square root of 72758009 is about 8529.8305375898. The cubic root of 72758009 is about 417.4715990577.

The spelling of 72758009 in words is "seventy-two million, seven hundred fifty-eight thousand, nine".