75720 has 32 divisors (see below), whose sum is σ = 227520. Its totient is φ = 20160.

The previous prime is 75709. The next prime is 75721. The reversal of 75720 is 2757.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75720.

It is not an unprimeable number, because it can be changed into a prime (75721) by changing a digit.

75720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196 + ... + 435.

It is an arithmetic number, because the mean of its divisors is an integer number (7110).

2⁷⁵⁷²⁰ is an apocalyptic number.

It is an amenable number.

75720 is an abundant number, since it is smaller than the sum of its proper divisors (151800).

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 (113760).

75720 is a wasteful number, since it uses less digits than its factorization.

75720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 75720 is about 275.1726730618. The cubic root of 75720 is about 42.3061529425.

It can be divided in two parts, 757 and 20, that added together give a palindrome (777).

The spelling of 75720 in words is "seventy-five thousand, seven hundred twenty".