512372 has 24 divisors (see below), whose sum is σ = 1061760. Its totient is φ = 211680.

The previous prime is 512353. The next prime is 512389. The reversal of 512372 is 273215.

It is a congruent number.

It is an unprimeable number.

512372 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 497 + ... + 1127.

It is an arithmetic number, because the mean of its divisors is an integer number (44240).

2⁵¹²³⁷² 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 512372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530880).

512372 is an abundant number, since it is smaller than the sum of its proper divisors (549388).

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

512372 is a wasteful number, since it uses less digits than its factorization.

512372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 669 counting only the distinct ones).

The product of its digits is 420, while the sum is 20.

The square root of 512372 is about 715.8016485033. The cubic root of 512372 is about 80.0193703095.

Adding to 512372 its reverse (273215), we get a palindrome (785587).

The spelling of 512372 in words is "five hundred twelve thousand, three hundred seventy-two".