507672 has 48 divisors (see below), whose sum is σ = 1502280. Its totient is φ = 153600.

The previous prime is 507667. The next prime is 507673. The reversal of 507672 is 276705.

507672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507673) by changing a digit.

507672 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 11 ways as a sum of consecutive naturals, for example, 472 + ... + 1112.

2⁵⁰⁷⁶⁷² 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 507672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751140).

507672 is an abundant number, since it is smaller than the sum of its proper divisors (994608).

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

507672 is a wasteful number, since it uses less digits than its factorization.

507672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 507672 is about 712.5110525459. The cubic root of 507672 is about 79.7739451752.

The spelling of 507672 in words is "five hundred seven thousand, six hundred seventy-two".