1311072 has 48 divisors (see below), whose sum is σ = 3935232. Its totient is φ = 374400.

The previous prime is 1311067. The next prime is 1311097. The reversal of 1311072 is 2701131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 304 + ... + 1647.

It is an arithmetic number, because the mean of its divisors is an integer number (81984).

2^1311072 is an apocalyptic number.

1311072 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 1311072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967616).

1311072 is an abundant number, since it is smaller than the sum of its proper divisors (2624160).

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

1311072 is a wasteful number, since it uses less digits than its factorization.

1311072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 1311072 is about 1145.0205238335. The cubic root of 1311072 is about 109.4482564476.

The spelling of 1311072 in words is "one million, three hundred eleven thousand, seventy-two".