75740 has 24 divisors (see below), whose sum is σ = 182112. Its totient is φ = 25920.

The previous prime is 75731. The next prime is 75743. The reversal of 75740 is 4757.

75740 = 101² + 102² + ... + 107².

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75743) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131 + ... + 410.

It is an arithmetic number, because the mean of its divisors is an integer number (7588).

2⁷⁵⁷⁴⁰ is an apocalyptic number.

75740 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75740 is an abundant number, since it is smaller than the sum of its proper divisors (106372).

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 (91056).

75740 is a wasteful number, since it uses less digits than its factorization.

75740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 75740 is about 275.2090114804. The cubic root of 75740 is about 42.3098774036.

It can be divided in two parts, 757 and 40, that added together give a palindrome (797).

The spelling of 75740 in words is "seventy-five thousand, seven hundred forty".