75940 has 12 divisors (see below), whose sum is σ = 159516. Its totient is φ = 30368.

The previous prime is 75937. The next prime is 75941. The reversal of 75940 is 4957.

It can be written as a sum of positive squares in 2 ways, for example, as 10404 + 65536 = 102^2 + 256^2 .

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (75941) 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, 1879 + ... + 1918.

It is an arithmetic number, because the mean of its divisors is an integer number (13293).

2⁷⁵⁹⁴⁰ is an apocalyptic number.

It is an amenable number.

75940 is an abundant number, since it is smaller than the sum of its proper divisors (83576).

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 (79758).

75940 is a wasteful number, since it uses less digits than its factorization.

75940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3806 (or 3804 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 75940 is about 275.5721321179. The cubic root of 75940 is about 42.3470860037.

It can be divided in two parts, 75 and 940, that multiplied together give a triangular number (70500 = T₃₇₅).

The spelling of 75940 in words is "seventy-five thousand, nine hundred forty".