75675 has 12 divisors (see below), whose sum is σ = 125240. Its totient is φ = 40320.

The previous prime is 75659. The next prime is 75679. The reversal of 75675 is 57657.

It is not a de Polignac number, because 75675 - 2⁴ = 75659 is a prime.

75675 is a modest number, since divided by 675 gives 75 as remainder.

75675 is a lucky number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (75679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 430 + ... + 579.

2⁷⁵⁶⁷⁵ is an apocalyptic number.

75675 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

75675 is a deficient number, since it is larger than the sum of its proper divisors (49565).

75675 is a wasteful number, since it uses less digits than its factorization.

75675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1017 counting only the distinct ones).

The product of its digits is 7350, while the sum is 30.

The square root of 75675 is about 275.0908940696. The cubic root of 75675 is about 42.2977705066.

It can be divided in two parts, 75 and 675, that multiplied together give a 4-th power (50625 = 15⁴).

The spelling of 75675 in words is "seventy-five thousand, six hundred seventy-five".