1312272 has 60 divisors (see below), whose sum is σ = 3960684. Its totient is φ = 403200.

The previous prime is 1312237. The next prime is 1312277. The reversal of 1312272 is 2722131.

It can be written as a sum of positive squares in 2 ways, for example, as 665856 + 646416 = 816^2 + 804^2 .

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 (1312277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1522 + ... + 2222.

2^1312272 is an apocalyptic number.

1312272 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 1312272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980342).

1312272 is an abundant number, since it is smaller than the sum of its proper divisors (2648412).

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

1312272 is a wasteful number, since it uses less digits than its factorization.

1312272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 719 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 1312272 is about 1145.5444120592. The cubic root of 1312272 is about 109.4816382547.

It can be divided in two parts, 13122 and 72, that multiplied together give a square (944784 = 972²).

The spelling of 1312272 in words is "one million, three hundred twelve thousand, two hundred seventy-two".