75540 has 24 divisors (see below), whose sum is σ = 211680. Its totient is φ = 20128.

The previous prime is 75539. The next prime is 75541. The reversal of 75540 is 4557.

It is an interprime number because it is at equal distance from previous prime (75539) and next prime (75541).

It is an Ulam number.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75541) 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 in 7 ways as a sum of consecutive naturals, for example, 570 + ... + 689.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2⁷⁵⁵⁴⁰ is an apocalyptic number.

It is an amenable number.

75540 is an abundant number, since it is smaller than the sum of its proper divisors (136140).

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 (105840).

75540 is a wasteful number, since it uses less digits than its factorization.

75540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 75540 is about 274.8454110950. The cubic root of 75540 is about 42.2726032433.

The spelling of 75540 in words is "seventy-five thousand, five hundred forty".