75366 has 24 divisors (see below), whose sum is σ = 168480. Its totient is φ = 24336.

The previous prime is 75353. The next prime is 75367. The reversal of 75366 is 66357.

Its product of digits (3780) is a multiple of the sum of its prime factors (140).

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 (75367) by changing a digit.

75366 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 915 + ... + 993.

It is an arithmetic number, because the mean of its divisors is an integer number (7020).

2⁷⁵³⁶⁶ is an apocalyptic number.

75366 is an abundant number, since it is smaller than the sum of its proper divisors (93114).

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 (84240).

75366 is a wasteful number, since it uses less digits than its factorization.

75366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 137 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 75366 is about 274.5286870256. The cubic root of 75366 is about 42.2401211687.

Subtracting from 75366 its reverse (66357), we obtain a palindrome (9009).

It can be divided in two parts, 75 and 366, that added together give a square (441 = 21²).

The spelling of 75366 in words is "seventy-five thousand, three hundred sixty-six".