512172 has 36 divisors (see below), whose sum is σ = 1330056. Its totient is φ = 166080.

The previous prime is 512167. The next prime is 512207. The reversal of 512172 is 271215.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1303 + ... + 1649.

It is an arithmetic number, because the mean of its divisors is an integer number (36946).

2⁵¹²¹⁷² 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 512172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665028).

512172 is an abundant number, since it is smaller than the sum of its proper divisors (817884).

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

512172 is a wasteful number, since it uses less digits than its factorization.

512172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 393 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 512172 is about 715.6619313614. The cubic root of 512172 is about 80.0089573304.

Adding to 512172 its reverse (271215), we get a palindrome (783387).

The spelling of 512172 in words is "five hundred twelve thousand, one hundred seventy-two".