72301009 has 9 divisors (see below), whose sum is σ = 79574299. Its totient is φ = 65643160.

The previous prime is 72301007. The next prime is 72301093. The reversal of 72301009 is 90010327.

The square root of 72301009 is 8503.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4601025 + 67699984 = 2145^2 + 8228^2 .

It is not a de Polignac number, because 72301009 - 2¹ = 72301007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72301001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 93147 + ... + 93919.

Almost surely, 2^72301009 is an apocalyptic number.

72301009 is the 8503-rd square number.

72301009 is the 4252-nd centered octagonal number.

It is an amenable number.

72301009 is a deficient number, since it is larger than the sum of its proper divisors (7273290).

72301009 is an frugal number, since it uses more digits than its factorization.

72301009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The cubic root of 72301009 is about 416.5957029724.

The spelling of 72301009 in words is "seventy-two million, three hundred one thousand, nine".