4318272 has 210 divisors, whose sum is σ = 15766542. Its totient is φ = 1161216.

The previous prime is 4318271. The next prime is 4318277. The reversal of 4318272 is 2728134.

It can be written as a sum of positive squares in only one way, i.e., 4064256 + 254016 = 2016^2 + 504^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4318271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 254008 + ... + 254024.

Almost surely, 2^4318272 is an apocalyptic number.

4318272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4318272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7883271).

4318272 is an abundant number, since it is smaller than the sum of its proper divisors (11448270).

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

4318272 is a wasteful number, since it uses less digits than its factorization.

4318272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 29 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 4318272 is about 2078.0452353113. The cubic root of 4318272 is about 162.8433387587.

The spelling of 4318272 in words is "four million, three hundred eighteen thousand, two hundred seventy-two".