4772107872 has 144 divisors (see below), whose sum is σ = 16083954432. Its totient is φ = 1363443840.

The previous prime is 4772107867. The next prime is 4772107889. The reversal of 4772107872 is 2787012774.

4772107872 is a `hidden beast` number, since 477 + 2 + 107 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10597 + ... + 98267.

It is an arithmetic number, because the mean of its divisors is an integer number (111694128).

Almost surely, 2^4772107872 is an apocalyptic number.

4772107872 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 4772107872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8041977216).

4772107872 is an abundant number, since it is smaller than the sum of its proper divisors (11311846560).

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

4772107872 is an equidigital number, since it uses as much as digits as its factorization.

4772107872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87703 (or 87683 counting only the distinct ones).

The product of its (nonzero) digits is 307328, while the sum is 45.

The square root of 4772107872 is about 69080.4449319777. Note that the first 3 decimals coincide. The cubic root of 4772107872 is about 1683.5916019067.

The spelling of 4772107872 in words is "four billion, seven hundred seventy-two million, one hundred seven thousand, eight hundred seventy-two".