516072 has 16 divisors (see below), whose sum is σ = 1290240. Its totient is φ = 172016.

The previous prime is 516053. The next prime is 516077. The reversal of 516072 is 270615.

It is not an unprimeable number, because it can be changed into a prime (516077) by changing a digit.

516072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10728 + ... + 10775.

It is an arithmetic number, because the mean of its divisors is an integer number (80640).

2⁵¹⁶⁰⁷² is an apocalyptic number.

It is an amenable number.

516072 is an abundant number, since it is smaller than the sum of its proper divisors (774168).

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

516072 is a wasteful number, since it uses less digits than its factorization.

516072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21512 (or 21508 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 516072 is about 718.3815142388. The cubic root of 516072 is about 80.2115235627.

Adding to 516072 its reverse (270615), we get a palindrome (786687).

The spelling of 516072 in words is "five hundred sixteen thousand, seventy-two".