75156 has 12 divisors (see below), whose sum is σ = 175392. Its totient is φ = 25048.

The previous prime is 75149. The next prime is 75161. The reversal of 75156 is 65157.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

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 75156.

It is an unprimeable number.

75156 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, 3120 + ... + 3143.

It is an arithmetic number, because the mean of its divisors is an integer number (14616).

2⁷⁵¹⁵⁶ is an apocalyptic number.

It is an amenable number.

75156 is an abundant number, since it is smaller than the sum of its proper divisors (100236).

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 (87696).

75156 is a wasteful number, since it uses less digits than its factorization.

75156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6270 (or 6268 counting only the distinct ones).

The product of its digits is 1050, while the sum is 24.

The square root of 75156 is about 274.1459465321. The cubic root of 75156 is about 42.2008520152.

Subtracting from 75156 its reverse (65157), we obtain a palindrome (9999).

It can be divided in two parts, 75 and 156, that added together give a triangular number (231 = T₂₁).

The spelling of 75156 in words is "seventy-five thousand, one hundred fifty-six".