4681872 has 120 divisors (see below), whose sum is σ = 14691768. Its totient is φ = 1382400.

The previous prime is 4681871. The next prime is 4681889. The reversal of 4681872 is 2781864.

It can be written as a sum of positive squares in 4 ways, for example, as 665856 + 4016016 = 816^2 + 2004^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4681871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76722 + ... + 76782.

Almost surely, 2^4681872 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 4681872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7345884).

4681872 is an abundant number, since it is smaller than the sum of its proper divisors (10009896).

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

4681872 is a wasteful number, since it uses less digits than its factorization.

4681872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 120 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 4681872 is about 2163.7633881735. The cubic root of 4681872 is about 167.2912316987.

It can be divided in two parts, 46818 and 72, that multiplied together give a square (3370896 = 1836²).

The spelling of 4681872 in words is "four million, six hundred eighty-one thousand, eight hundred seventy-two".