1003272 has 32 divisors (see below), whose sum is σ = 2656800. Its totient is φ = 314624.

The previous prime is 1003259. The next prime is 1003273. The reversal of 1003272 is 2723001.

1003272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1003273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 822 + ... + 1637.

It is an arithmetic number, because the mean of its divisors is an integer number (83025).

2^1003272 is an apocalyptic number.

1003272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1003272 is an abundant number, since it is smaller than the sum of its proper divisors (1653528).

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

1003272 is a wasteful number, since it uses less digits than its factorization.

1003272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 1003272 is about 1001.6346639369. The cubic root of 1003272 is about 100.1089479271.

Adding to 1003272 its reverse (2723001), we get a palindrome (3726273).

It can be divided in two parts, 1003 and 272, that added together give a triangular number (1275 = T₅₀).

The spelling of 1003272 in words is "one million, three thousand, two hundred seventy-two".