4042272 has 96 divisors (see below), whose sum is σ = 11854080. Its totient is φ = 1198080.

The previous prime is 4042271. The next prime is 4042303. The reversal of 4042272 is 2722404.

4042272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4042271) 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 15 ways as a sum of consecutive naturals, for example, 51129 + ... + 51207.

It is an arithmetic number, because the mean of its divisors is an integer number (123480).

Almost surely, 2^4042272 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 4042272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927040).

4042272 is an abundant number, since it is smaller than the sum of its proper divisors (7811808).

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

4042272 is a wasteful number, since it uses less digits than its factorization.

4042272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

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

The square root of 4042272 is about 2010.5402259094. The cubic root of 4042272 is about 159.2973353237.

Adding to 4042272 its reverse (2722404), we get a palindrome (6764676).

The spelling of 4042272 in words is "four million, forty-two thousand, two hundred seventy-two".