506136072 has 128 divisors (see below), whose sum is σ = 1422288000. Its totient is φ = 149909760.

The previous prime is 506136047. The next prime is 506136073. The reversal of 506136072 is 270631605.

It is not an unprimeable number, because it can be changed into a prime (506136073) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1528947 + ... + 1529277.

It is an arithmetic number, because the mean of its divisors is an integer number (11111625).

Almost surely, 2^506136072 is an apocalyptic number.

506136072 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 506136072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711144000).

506136072 is an abundant number, since it is smaller than the sum of its proper divisors (916151928).

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

506136072 is a wasteful number, since it uses less digits than its factorization.

506136072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 506136072 is about 22497.4681242134. The cubic root of 506136072 is about 796.9341364433.

Adding to 506136072 its reverse (270631605), we get a palindrome (776767677).

The spelling of 506136072 in words is "five hundred six million, one hundred thirty-six thousand, seventy-two".