512672 has 24 divisors (see below), whose sum is σ = 1038996. Its totient is φ = 248832.

The previous prime is 512671. The next prime is 512683. The reversal of 512672 is 276215.

It can be written as a sum of positive squares in 2 ways, for example, as 512656 + 16 = 716^2 + 4^2 .

It is not an unprimeable number, because it can be changed into a prime (512671) 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, 968 + ... + 1400.

2⁵¹²⁶⁷² 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 512672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519498).

512672 is an abundant number, since it is smaller than the sum of its proper divisors (526324).

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

512672 is a wasteful number, since it uses less digits than its factorization.

512672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 472 counting only the distinct ones).

The product of its digits is 840, while the sum is 23.

The square root of 512672 is about 716.0111730972. The cubic root of 512672 is about 80.0349846987.

Adding to 512672 its reverse (276215), we get a palindrome (788887).

The spelling of 512672 in words is "five hundred twelve thousand, six hundred seventy-two".