75405 has 16 divisors (see below), whose sum is σ = 131904. Its totient is φ = 36480.

The previous prime is 75403. The next prime is 75407. The reversal of 75405 is 50457.

It is an interprime number because it is at equal distance from previous prime (75403) and next prime (75407).

It is not a de Polignac number, because 75405 - 2¹ = 75403 is a prime.

75405 is a modest number, since divided by 405 gives 75 as remainder.

It is a plaindrome in base 12 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75401) 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, 64 + ... + 393.

It is an arithmetic number, because the mean of its divisors is an integer number (8244).

2⁷⁵⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

75405 is a deficient number, since it is larger than the sum of its proper divisors (56499).

75405 is a wasteful number, since it uses less digits than its factorization.

75405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476.

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 75405 is about 274.5997086670. The cubic root of 75405 is about 42.2474059773.

The spelling of 75405 in words is "seventy-five thousand, four hundred five".