712530 has 128 divisors (see below), whose sum is σ = 2419200. Its totient is φ = 145152.

The previous prime is 712511. The next prime is 712531. The reversal of 712530 is 35217.

It is a super-3 number, since 3×712530³ = 1085252307333831000, which contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (712531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24556 + ... + 24584.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2⁷¹²⁵³⁰ is an apocalyptic number.

712530 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 712530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209600).

712530 is an abundant number, since it is smaller than the sum of its proper divisors (1706670).

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

712530 is a wasteful number, since it uses less digits than its factorization.

712530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 59 counting only the distinct ones).

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

The square root of 712530 is about 844.1149210860. The cubic root of 712530 is about 89.3170529229.

Adding to 712530 its reverse (35217), we get a palindrome (747747).

It can be divided in two parts, 71 and 2530, that added together give a square (2601 = 51²).

The spelling of 712530 in words is "seven hundred twelve thousand, five hundred thirty".