752130 has 48 divisors (see below), whose sum is σ = 2002104. Its totient is φ = 195840.

The previous prime is 752117. The next prime is 752137. The reversal of 752130 is 31257.

It can be written as a sum of positive squares in 4 ways, for example, as 423801 + 328329 = 651^2 + 573^2 .

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

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (752137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5422 + ... + 5558.

2⁷⁵²¹³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 752130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001052).

752130 is an abundant number, since it is smaller than the sum of its proper divisors (1249974).

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

752130 is a wasteful number, since it uses less digits than its factorization.

752130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 752130 is about 867.2542879686. The cubic root of 752130 is about 90.9419587214.

Adding to 752130 its reverse (31257), we get a palindrome (783387).

The spelling of 752130 in words is "seven hundred fifty-two thousand, one hundred thirty".