1344672 has 144 divisors (see below), whose sum is σ = 4717440. Its totient is φ = 354816.

The previous prime is 1344671. The next prime is 1344709. The reversal of 1344672 is 2764431.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (4032) is a multiple of the sum of its prime divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1344671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46354 + ... + 46382.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

2^1344672 is an apocalyptic number.

1344672 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 1344672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358720).

1344672 is an abundant number, since it is smaller than the sum of its proper divisors (3372768).

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

1344672 is a wasteful number, since it uses less digits than its factorization.

1344672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 64 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 1344672 is about 1159.5999310107. The cubic root of 1344672 is about 110.3753568185.

It can be divided in two parts, 1344 and 672, that added together give a triangular number (2016 = T₆₃).

The spelling of 1344672 in words is "one million, three hundred forty-four thousand, six hundred seventy-two".