505872 has 40 divisors (see below), whose sum is σ = 1453280. Its totient is φ = 168480.

The previous prime is 505871. The next prime is 505877. The reversal of 505872 is 278505.

It is a happy number.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is an Ulam number.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 505872.

It is not an unprimeable number, because it can be changed into a prime (505871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154 + ... + 1017.

It is an arithmetic number, because the mean of its divisors is an integer number (36332).

2⁵⁰⁵⁸⁷² 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 505872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726640).

505872 is an abundant number, since it is smaller than the sum of its proper divisors (947408).

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

505872 is a wasteful number, since it uses less digits than its factorization.

505872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 505872 is about 711.2467926114. The cubic root of 505872 is about 79.6795514563.

The spelling of 505872 in words is "five hundred five thousand, eight hundred seventy-two".