1788672 has 72 divisors (see below), whose sum is σ = 5077296. Its totient is φ = 557056.

The previous prime is 1788667. The next prime is 1788673. The reversal of 1788672 is 2768871.

It is a self number, because there is not a number n which added to its sum of digits gives 1788672.

It is not an unprimeable number, because it can be changed into a prime (1788673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12988 + ... + 13124.

It is an arithmetic number, because the mean of its divisors is an integer number (70518).

2^1788672 is an apocalyptic number.

1788672 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 1788672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538648).

1788672 is an abundant number, since it is smaller than the sum of its proper divisors (3288624).

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

1788672 is a wasteful number, since it uses less digits than its factorization.

1788672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its digits is 37632, while the sum is 39.

The square root of 1788672 is about 1337.4124270396. The cubic root of 1788672 is about 121.3883205528.

The spelling of 1788672 in words is "one million, seven hundred eighty-eight thousand, six hundred seventy-two".