73569 has 8 divisors (see below), whose sum is σ = 99360. Its totient is φ = 48416.

The previous prime is 73561. The next prime is 73571. The reversal of 73569 is 96537.

73569 is nontrivially palindromic in base 5.

73569 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 73569 - 2³ = 73561 is a prime.

It is a super-2 number, since 2×73569² = 10824795522, which contains 22 as substring.

It is a Curzon number.

73569 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (73561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 322 + ... + 500.

It is an arithmetic number, because the mean of its divisors is an integer number (12420).

2⁷³⁵⁶⁹ is an apocalyptic number.

It is an amenable number.

73569 is a deficient number, since it is larger than the sum of its proper divisors (25791).

73569 is a wasteful number, since it uses less digits than its factorization.

73569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319.

The product of its digits is 5670, while the sum is 30.

The square root of 73569 is about 271.2360595496. The cubic root of 73569 is about 41.9016975368.

The spelling of 73569 in words is "seventy-three thousand, five hundred sixty-nine".