4872000 has 224 divisors, whose sum is σ = 19019520. Its totient is φ = 1075200.

The previous prime is 4871983. The next prime is 4872001. The reversal of 4872000 is 2784.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4872001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167986 + ... + 168014.

Almost surely, 2^4872000 is an apocalyptic number.

4872000 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 4872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9509760).

4872000 is an abundant number, since it is smaller than the sum of its proper divisors (14147520).

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

4872000 is a wasteful number, since it uses less digits than its factorization.

4872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 4872000 is about 2207.2607458114. The cubic root of 4872000 is about 169.5257833577.

Adding to 4872000 its reverse (2784), we get a palindrome (4874784).

The spelling of 4872000 in words is "four million, eight hundred seventy-two thousand".