72964309 has 4 divisors (see below), whose sum is σ = 79597440. Its totient is φ = 66331180.

The previous prime is 72964291. The next prime is 72964327. The reversal of 72964309 is 90346927.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (72964291) and next prime (72964327).

It is a cyclic number.

It is not a de Polignac number, because 72964309 - 2²¹ = 70867157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72964399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3316549 + ... + 3316570.

It is an arithmetic number, because the mean of its divisors is an integer number (19899360).

Almost surely, 2^72964309 is an apocalyptic number.

It is an amenable number.

72964309 is a deficient number, since it is larger than the sum of its proper divisors (6633131).

72964309 is a wasteful number, since it uses less digits than its factorization.

72964309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6633130.

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 72964309 is about 8541.9148321673. The cubic root of 72964309 is about 417.8657967561.

The spelling of 72964309 in words is "seventy-two million, nine hundred sixty-four thousand, three hundred nine".