4717872 has 80 divisors (see below), whose sum is σ = 13828480. Its totient is φ = 1539648.

The previous prime is 4717861. The next prime is 4717873. The reversal of 4717872 is 2787174.

It is a super-4 number, since 4×4717872⁴ (a number of 28 digits) contains 4444 as substring.

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 (4717873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28863 + ... + 29025.

It is an arithmetic number, because the mean of its divisors is an integer number (172856).

Almost surely, 2^4717872 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 4717872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6914240).

4717872 is an abundant number, since it is smaller than the sum of its proper divisors (9110608).

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

4717872 is a wasteful number, since it uses less digits than its factorization.

4717872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 235 counting only the distinct ones).

The product of its digits is 21952, while the sum is 36.

The square root of 4717872 is about 2172.0662973307. The cubic root of 4717872 is about 167.7189177362.

The spelling of 4717872 in words is "four million, seven hundred seventeen thousand, eight hundred seventy-two".