4672872 has 24 divisors (see below), whose sum is σ = 12655890. Its totient is φ = 1557600.

The previous prime is 4672823. The next prime is 4672873. The reversal of 4672872 is 2782764.

It can be written as a sum of positive squares in only one way, i.e., 3218436 + 1454436 = 1794^2 + 1206^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (4672873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32379 + ... + 32522.

Almost surely, 2^4672872 is an apocalyptic number.

It is an amenable number.

4672872 is an abundant number, since it is smaller than the sum of its proper divisors (7983018).

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

4672872 is a wasteful number, since it uses less digits than its factorization.

4672872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64913 (or 64906 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 4672872 is about 2161.6826779155. The cubic root of 4672872 is about 167.1839678469.

The spelling of 4672872 in words is "four million, six hundred seventy-two thousand, eight hundred seventy-two".