75369 has 16 divisors (see below), whose sum is σ = 119168. Its totient is φ = 41472.

The previous prime is 75367. The next prime is 75377. The reversal of 75369 is 96357.

75369 = 56² + 57² + ... + 73².

It is not a de Polignac number, because 75369 - 2¹ = 75367 is a prime.

It is a super-2 number, since 2×75369² = 11360972322, which contains 22 as substring.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (75367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 729 + ... + 825.

It is an arithmetic number, because the mean of its divisors is an integer number (7448).

2⁷⁵³⁶⁹ is an apocalyptic number.

It is an amenable number.

75369 is a deficient number, since it is larger than the sum of its proper divisors (43799).

75369 is a wasteful number, since it uses less digits than its factorization.

75369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144.

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

The square root of 75369 is about 274.5341508811. The cubic root of 75369 is about 42.2406816278.

It can be divided in two parts, 75 and 369, that added together give a palindrome (444).

The spelling of 75369 in words is "seventy-five thousand, three hundred sixty-nine".