4003272 has 144 divisors (see below), whose sum is σ = 13703040. Its totient is φ = 1033344.

The previous prime is 4003271. The next prime is 4003273. The reversal of 4003272 is 2723004.

It is a happy number.

4003272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4003271) and next prime (4003273).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4003271) 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 35 ways as a sum of consecutive naturals, for example, 85153 + ... + 85199.

It is an arithmetic number, because the mean of its divisors is an integer number (95160).

Almost surely, 2^4003272 is an apocalyptic number.

4003272 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 4003272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6851520).

4003272 is an abundant number, since it is smaller than the sum of its proper divisors (9699768).

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

4003272 is a wasteful number, since it uses less digits than its factorization.

4003272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 4003272 is about 2000.8178327874. The cubic root of 4003272 is about 158.7833765357.

Adding to 4003272 its reverse (2723004), we get a palindrome (6726276).

It can be divided in two parts, 40032 and 72, that added together give a palindrome (40104).

The spelling of 4003272 in words is "four million, three thousand, two hundred seventy-two".