4024272 has 120 divisors (see below), whose sum is σ = 12722400. Its totient is φ = 1091328.

The previous prime is 4024259. The next prime is 4024277. The reversal of 4024272 is 2724204.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4024277) 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 23 ways as a sum of consecutive naturals, for example, 68179 + ... + 68237.

It is an arithmetic number, because the mean of its divisors is an integer number (106020).

Almost surely, 2^4024272 is an apocalyptic number.

4024272 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 4024272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6361200).

4024272 is an abundant number, since it is smaller than the sum of its proper divisors (8698128).

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

4024272 is a wasteful number, since it uses less digits than its factorization.

4024272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 4024272 is about 2006.0588226670. The cubic root of 4024272 is about 159.0605362623.

Adding to 4024272 its reverse (2724204), we get a palindrome (6748476).

The spelling of 4024272 in words is "four million, twenty-four thousand, two hundred seventy-two".