75388 has 12 divisors (see below), whose sum is σ = 135072. Its totient is φ = 36800.

The previous prime is 75377. The next prime is 75389. The reversal of 75388 is 88357.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75389) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13 + ... + 388.

It is an arithmetic number, because the mean of its divisors is an integer number (11256).

2⁷⁵³⁸⁸ is an apocalyptic number.

It is an amenable number.

75388 is a deficient number, since it is larger than the sum of its proper divisors (59684).

75388 is a wasteful number, since it uses less digits than its factorization.

75388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 450 counting only the distinct ones).

The product of its digits is 6720, while the sum is 31.

The square root of 75388 is about 274.5687527742. The cubic root of 75388 is about 42.2442308568.

Subtracting from 75388 its sum of digits (31), we obtain a palindrome (75357).

It can be divided in two parts, 753 and 88, that added together give a square (841 = 29²).

The spelling of 75388 in words is "seventy-five thousand, three hundred eighty-eight".