4872320 has 64 divisors (see below), whose sum is σ = 12191040. Its totient is φ = 1858560.

The previous prime is 4872313. The next prime is 4872323. The reversal of 4872320 is 232784.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 4872320.

It is not an unprimeable number, because it can be changed into a prime (4872323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14555 + ... + 14885.

It is an arithmetic number, because the mean of its divisors is an integer number (190485).

Almost surely, 2^4872320 is an apocalyptic number.

4872320 is a gapful number since it is divisible by the number (40) 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 4872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6095520).

4872320 is an abundant number, since it is smaller than the sum of its proper divisors (7318720).

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

4872320 is a wasteful number, since it uses less digits than its factorization.

4872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 4872320 is about 2207.3332326588. Note that the first 3 decimals coincide. The cubic root of 4872320 is about 169.5294948426.

The spelling of 4872320 in words is "four million, eight hundred seventy-two thousand, three hundred twenty".