1033272 has 48 divisors (see below), whose sum is σ = 2845440. Its totient is φ = 338688.

The previous prime is 1033271. The next prime is 1033273. The reversal of 1033272 is 2723301.

1033272 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 (1033271) and next prime (1033273).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8073 + ... + 8199.

It is an arithmetic number, because the mean of its divisors is an integer number (59280).

2^1033272 is an apocalyptic number.

1033272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 1016×1017.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1033272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422720).

1033272 is an abundant number, since it is smaller than the sum of its proper divisors (1812168).

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

1033272 is a wasteful number, since it uses less digits than its factorization.

1033272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 1033272 is about 1016.4998770290. The cubic root of 1033272 is about 101.0969888187.

Adding to 1033272 its reverse (2723301), we get a palindrome (3756573).

It can be divided in two parts, 10332 and 72, that added together give a square (10404 = 102²).

The spelling of 1033272 in words is "one million, thirty-three thousand, two hundred seventy-two".