516672 has 112 divisors (see below), whose sum is σ = 1706880. Its totient is φ = 152064.

The previous prime is 516653. The next prime is 516673. The reversal of 516672 is 276615.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (516673) by changing a digit.

516672 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 15 ways as a sum of consecutive naturals, for example, 22453 + ... + 22475.

It is an arithmetic number, because the mean of its divisors is an integer number (15240).

2⁵¹⁶⁶⁷² is an apocalyptic number.

516672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853440).

516672 is an abundant number, since it is smaller than the sum of its proper divisors (1190208).

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

516672 is a wasteful number, since it uses less digits than its factorization.

516672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 41 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 516672 is about 718.7989983299. The cubic root of 516672 is about 80.2425969239.

The spelling of 516672 in words is "five hundred sixteen thousand, six hundred seventy-two".