4623872 has 40 divisors (see below), whose sum is σ = 10090872. Its totient is φ = 2099200.

The previous prime is 4623869. The next prime is 4623877. The reversal of 4623872 is 2783264.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 4¹¹ + 6⁷ + 2⁹ + 3⁶ + 8³ + 7⁵ + 2¹⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4623877) 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 3 ways as a sum of consecutive naturals, for example, 5222 + ... + 6042.

Almost surely, 2^4623872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4623872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045436).

4623872 is an abundant number, since it is smaller than the sum of its proper divisors (5467000).

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

4623872 is an equidigital number, since it uses as much as digits as its factorization.

4623872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 834 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 4623872 is about 2150.3190460953. The cubic root of 4623872 is about 166.5975464494.

It can be divided in two parts, 462 and 3872, that added together give a palindrome (4334).

The spelling of 4623872 in words is "four million, six hundred twenty-three thousand, eight hundred seventy-two".