1456672 has 36 divisors (see below), whose sum is σ = 3339630. Its totient is φ = 623616.

The previous prime is 1456667. The next prime is 1456687. The reversal of 1456672 is 2766541.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1449616 + 7056 = 1204^2 + 84^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1104 + ... + 2032.

2^1456672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1456672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669815).

1456672 is an abundant number, since it is smaller than the sum of its proper divisors (1882958).

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

1456672 is an equidigital number, since it uses as much as digits as its factorization.

1456672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 938 counting only the distinct ones).

The product of its digits is 10080, while the sum is 31.

The square root of 1456672 is about 1206.9266754861. The cubic root of 1456672 is about 113.3584565603.

The spelling of 1456672 in words is "one million, four hundred fifty-six thousand, six hundred seventy-two".