73409 has 4 divisors (see below), whose sum is σ = 83904. Its totient is φ = 62916.

The previous prime is 73387. The next prime is 73417. The reversal of 73409 is 90437.

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 not a de Polignac number, because 73409 - 2¹² = 69313 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73459) 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, 5237 + ... + 5250.

It is an arithmetic number, because the mean of its divisors is an integer number (20976).

2⁷³⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

73409 is a deficient number, since it is larger than the sum of its proper divisors (10495).

73409 is a wasteful number, since it uses less digits than its factorization.

73409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10494.

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 73409 is about 270.9409529768. The cubic root of 73409 is about 41.8712991457.

The spelling of 73409 in words is "seventy-three thousand, four hundred nine".