1303272 has 48 divisors (see below), whose sum is σ = 3687840. Its totient is φ = 415008.

The previous prime is 1303261. The next prime is 1303279. The reversal of 1303272 is 2723031.

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

It is not an unprimeable number, because it can be changed into a prime (1303279) 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 11 ways as a sum of consecutive naturals, for example, 1263 + ... + 2049.

It is an arithmetic number, because the mean of its divisors is an integer number (76830).

2^1303272 is an apocalyptic number.

1303272 is a gapful number since it is divisible by the number (12) 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 1303272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843920).

1303272 is an abundant number, since it is smaller than the sum of its proper divisors (2384568).

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

1303272 is a wasteful number, since it uses less digits than its factorization.

1303272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 815 counting only the distinct ones).

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

The square root of 1303272 is about 1141.6093902907. The cubic root of 1303272 is about 109.2307766571.

The spelling of 1303272 in words is "one million, three hundred three thousand, two hundred seventy-two".