4672144 has 40 divisors (see below), whose sum is σ = 9742680. Its totient is φ = 2162688.

The previous prime is 4672141. The next prime is 4672147. The reversal of 4672144 is 4412764.

4672144 = T₄₁₇ + T₄₁₈ + ... + T₄₆₄.

It is an interprime number because it is at equal distance from previous prime (4672141) and next prime (4672147).

It can be written as a sum of positive squares in 4 ways, for example, as 262144 + 4410000 = 512^2 + 2100^2 .

It is not an unprimeable number, because it can be changed into a prime (4672141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24112 + ... + 24304.

It is an arithmetic number, because the mean of its divisors is an integer number (243567).

Almost surely, 2^4672144 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 4672144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4871340).

4672144 is an abundant number, since it is smaller than the sum of its proper divisors (5070536).

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

4672144 is a wasteful number, since it uses less digits than its factorization.

4672144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 301 counting only the distinct ones).

The product of its digits is 5376, while the sum is 28.

The square root of 4672144 is about 2161.5142840148. The cubic root of 4672144 is about 167.1752853743.

The spelling of 4672144 in words is "four million, six hundred seventy-two thousand, one hundred forty-four".