75220 has 12 divisors (see below), whose sum is σ = 158004. Its totient is φ = 30080.

The previous prime is 75217. The next prime is 75223. The reversal of 75220 is 2257.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (75217) and next prime (75223).

It can be written as a sum of positive squares in 2 ways, for example, as 30276 + 44944 = 174^2 + 212^2 .

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 75194 and 75203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75223) 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, 1861 + ... + 1900.

It is an arithmetic number, because the mean of its divisors is an integer number (13167).

2⁷⁵²²⁰ is an apocalyptic number.

It is an amenable number.

75220 is an abundant number, since it is smaller than the sum of its proper divisors (82784).

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 (79002).

75220 is a wasteful number, since it uses less digits than its factorization.

75220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3770 (or 3768 counting only the distinct ones).

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

The square root of 75220 is about 274.2626478396. The cubic root of 75220 is about 42.2128274984.

Adding to 75220 its reverse (2257), we get a palindrome (77477).

The spelling of 75220 in words is "seventy-five thousand, two hundred twenty".