75558 has 24 divisors (see below), whose sum is σ = 176472. Its totient is φ = 21504.

The previous prime is 75557. The next prime is 75571. The reversal of 75558 is 85557.

It is a happy number.

It is a super-3 number, since 3×75558³ = 1294084441923336, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a plaindrome in base 8.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75553) 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, 166 + ... + 422.

It is an arithmetic number, because the mean of its divisors is an integer number (7353).

2⁷⁵⁵⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75558, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88236).

75558 is an abundant number, since it is smaller than the sum of its proper divisors (100914).

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

75558 is a wasteful number, since it uses less digits than its factorization.

75558 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 269 counting only the distinct ones).

The product of its digits is 7000, while the sum is 30.

The square root of 75558 is about 274.8781548250. The cubic root of 75558 is about 42.2759606100.

Subtracting 75558 from its reverse (85557), we obtain a palindrome (9999).

It can be divided in two parts, 7 and 5558, that added together give a triangular number (5565 = T₁₀₅).

The spelling of 75558 in words is "seventy-five thousand, five hundred fifty-eight".