505005072 has 320 divisors, whose sum is σ = 1649894400. Its totient is φ = 130959360.

The previous prime is 505005049. The next prime is 505005091. The reversal of 505005072 is 270500505.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 8559379 + ... + 8559437.

It is an arithmetic number, because the mean of its divisors is an integer number (5155920).

Almost surely, 2^505005072 is an apocalyptic number.

505005072 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 505005072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824947200).

505005072 is an abundant number, since it is smaller than the sum of its proper divisors (1144889328).

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

505005072 is a wasteful number, since it uses less digits than its factorization.

505005072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 24.

The square root of 505005072 is about 22472.3179044797. The cubic root of 505005072 is about 796.3400901921.

Adding to 505005072 its reverse (270500505), we get a palindrome (775505577).

The spelling of 505005072 in words is "five hundred five million, five thousand, seventy-two".