75040 has 48 divisors (see below), whose sum is σ = 205632. Its totient is φ = 25344.

The previous prime is 75037. The next prime is 75041. The reversal of 75040 is 4057.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (75041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1087 + ... + 1153.

It is an arithmetic number, because the mean of its divisors is an integer number (4284).

2⁷⁵⁰⁴⁰ is an apocalyptic number.

75040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102816).

75040 is an abundant number, since it is smaller than the sum of its proper divisors (130592).

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

75040 is a wasteful number, since it uses less digits than its factorization.

75040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 75040 is about 273.9342986922. The cubic root of 75040 is about 42.1791291119.

Adding to 75040 its reverse (4057), we get a palindrome (79097).

The spelling of 75040 in words is "seventy-five thousand, forty".