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75918 = 2312653

75918 has 8 divisors (see below), whose sum is σ = 151848. Its totient is φ = 25304.

The previous prime is 75913. The next prime is 75931. The reversal of 75918 is 81957.

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

75918 is an admirable number.

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 75918.

It is not an unprimeable number, because it can be changed into a prime (75913) by changing a digit.

75918 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6321 + ... + 6332.

It is an arithmetic number, because the mean of its divisors is an integer number (18981).

275918 is an apocalyptic number.

75918 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75924).

75918 is a wasteful number, since it uses less digits than its factorization.

75918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12658.

The product of its digits is 2520, while the sum is 30.

The square root of 75918 is about 275.5322122729. The cubic root of 75918 is about 42.3429962580.

It can be divided in two parts, 759 and 18, that added together give a palindrome (777).

The spelling of 75918 in words is "seventy-five thousand, nine hundred eighteen".

Divisors: 1 2 3 6 12653 25306 37959 75918