752220 has 96 divisors (see below), whose sum is σ = 2688000. Its totient is φ = 171072.

The previous prime is 752207. The next prime is 752251. The reversal of 752220 is 22257.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 752193 and 752202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3681 + ... + 3879.

It is an arithmetic number, because the mean of its divisors is an integer number (28000).

2⁷⁵²²²⁰ is an apocalyptic number.

752220 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 752220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344000).

752220 is an abundant number, since it is smaller than the sum of its proper divisors (1935780).

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

752220 is a wasteful number, since it uses less digits than its factorization.

752220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 752220 is about 867.3061743122. The cubic root of 752220 is about 90.9455859533.

Adding to 752220 its reverse (22257), we get a palindrome (774477).

The spelling of 752220 in words is "seven hundred fifty-two thousand, two hundred twenty".