512720 has 80 divisors (see below), whose sum is σ = 1406160. Its totient is φ = 172032.

The previous prime is 512717. The next prime is 512741. The reversal of 512720 is 27215.

It can be written as a sum of positive squares in 8 ways, for example, as 5776 + 506944 = 76^2 + 712^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17666 + ... + 17694.

It is an arithmetic number, because the mean of its divisors is an integer number (17577).

2⁵¹²⁷²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703080).

512720 is an abundant number, since it is smaller than the sum of its proper divisors (893440).

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

512720 is a wasteful number, since it uses less digits than its factorization.

512720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 512720 is about 716.0446913427. The cubic root of 512720 is about 80.0374824356.

Adding to 512720 its reverse (27215), we get a palindrome (539935).

The spelling of 512720 in words is "five hundred twelve thousand, seven hundred twenty".