75375 has 24 divisors (see below), whose sum is σ = 137904. Its totient is φ = 39600.

The previous prime is 75367. The next prime is 75377. The reversal of 75375 is 57357.

It is not a de Polignac number, because 75375 - 2³ = 75367 is a prime.

Its product of digits (3675) is a multiple of the sum of its prime divisors (75).

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75375.

It is not an unprimeable number, because it can be changed into a prime (75377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1092 + ... + 1158.

It is an arithmetic number, because the mean of its divisors is an integer number (5746).

2⁷⁵³⁷⁵ is an apocalyptic number.

75375 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

75375 is a deficient number, since it is larger than the sum of its proper divisors (62529).

75375 is a wasteful number, since it uses less digits than its factorization.

75375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 75 counting only the distinct ones).

The product of its digits is 3675, while the sum is 27.

The square root of 75375 is about 274.5450782658. The cubic root of 75375 is about 42.2418025014.

It can be divided in two parts, 753 and 75, that added together give a palindrome (828).

The spelling of 75375 in words is "seventy-five thousand, three hundred seventy-five".