4805208072 has 192 divisors, whose sum is σ = 16162099200. Its totient is φ = 1258623360.

The previous prime is 4805208071. The next prime is 4805208113. The reversal of 4805208072 is 2708025084.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4805208071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288763 + ... + 304949.

It is an arithmetic number, because the mean of its divisors is an integer number (84177600).

Almost surely, 2^4805208072 is an apocalyptic number.

4805208072 is a gapful number since it is divisible by the number (42) 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 4805208072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8081049600).

4805208072 is an abundant number, since it is smaller than the sum of its proper divisors (11356891128).

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

4805208072 is a wasteful number, since it uses less digits than its factorization.

4805208072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16256 (or 16249 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 4805208072 is about 69319.6081350724. The cubic root of 4805208072 is about 1687.4752014792.

The spelling of 4805208072 in words is "four billion, eight hundred five million, two hundred eight thousand, seventy-two".