4672000 has 80 divisors (see below), whose sum is σ = 11809512. Its totient is φ = 1843200.

The previous prime is 4671983. The next prime is 4672001. The reversal of 4672000 is 2764.

It can be written as a sum of positive squares in 4 ways, for example, as 1517824 + 3154176 = 1232^2 + 1776^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4672001) 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, 63964 + ... + 64036.

Almost surely, 2^4672000 is an apocalyptic number.

4672000 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 4672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5904756).

4672000 is an abundant number, since it is smaller than the sum of its proper divisors (7137512).

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

4672000 is an frugal number, since it uses more digits than its factorization.

4672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 4672000 is about 2161.4809737770. The cubic root of 4672000 is about 167.1735678552.

Adding to 4672000 its reverse (2764), we get a palindrome (4674764).

The spelling of 4672000 in words is "four million, six hundred seventy-two thousand".