75368 has 8 divisors (see below), whose sum is σ = 141330. Its totient is φ = 37680.

The previous prime is 75367. The next prime is 75377. The reversal of 75368 is 86357.

It can be written as a sum of positive squares in only one way, i.e., 68644 + 6724 = 262^2 + 82^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 75368.

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

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 as a sum of consecutive naturals, namely, 4703 + ... + 4718.

2⁷⁵³⁶⁸ is an apocalyptic number.

It is an amenable number.

75368 is a deficient number, since it is larger than the sum of its proper divisors (65962).

75368 is a wasteful number, since it uses less digits than its factorization.

75368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9427 (or 9423 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 75368 is about 274.5323296080. The cubic root of 75368 is about 42.2404948098.

Adding to 75368 its product of digits (5040), we get a palindrome (80408).

The spelling of 75368 in words is "seventy-five thousand, three hundred sixty-eight".