4647272 has 32 divisors (see below), whose sum is σ = 10283520. Its totient is φ = 1926720.

The previous prime is 4647271. The next prime is 4647277. The reversal of 4647272 is 2727464.

It is a d-powerful number, because it can be written as 4⁹ + 6⁵ + 4¹¹ + 7⁴ + 2¹⁵ + 7⁵ + 2¹⁷ .

4647272 is a modest number, since divided by 7272 gives 464 as remainder.

It is not an unprimeable number, because it can be changed into a prime (4647271) 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 7 ways as a sum of consecutive naturals, for example, 398 + ... + 3074.

It is an arithmetic number, because the mean of its divisors is an integer number (321360).

Almost surely, 2^4647272 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 4647272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5141760).

4647272 is an abundant number, since it is smaller than the sum of its proper divisors (5636248).

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

4647272 is a wasteful number, since it uses less digits than its factorization.

4647272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721 (or 2717 counting only the distinct ones).

The product of its digits is 18816, while the sum is 32.

The square root of 4647272 is about 2155.7532326312. The cubic root of 4647272 is about 166.8781067562.

The spelling of 4647272 in words is "four million, six hundred forty-seven thousand, two hundred seventy-two".