72609 has 4 divisors (see below), whose sum is σ = 96816. Its totient is φ = 48404.

The previous prime is 72577. The next prime is 72613. The reversal of 72609 is 90627.

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 a cyclic number.

It is not a de Polignac number, because 72609 - 2⁵ = 72577 is a prime.

It is a D-number.

It is a Curzon number.

72609 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (72649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12099 + ... + 12104.

It is an arithmetic number, because the mean of its divisors is an integer number (24204).

2⁷²⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

72609 is a deficient number, since it is larger than the sum of its proper divisors (24207).

72609 is a wasteful number, since it uses less digits than its factorization.

72609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24206.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 72609 is about 269.4605722550. The cubic root of 72609 is about 41.7186409191.

The spelling of 72609 in words is "seventy-two thousand, six hundred nine".