1782872 has 64 divisors (see below), whose sum is σ = 4300800. Its totient is φ = 673920.

The previous prime is 1782863. The next prime is 1782883. The reversal of 1782872 is 2782871.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22529 + ... + 22607.

It is an arithmetic number, because the mean of its divisors is an integer number (67200).

2^1782872 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 1782872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150400).

1782872 is an abundant number, since it is smaller than the sum of its proper divisors (2517928).

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

1782872 is a wasteful number, since it uses less digits than its factorization.

1782872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 132 counting only the distinct ones).

The product of its digits is 12544, while the sum is 35.

The square root of 1782872 is about 1335.2423001089. The cubic root of 1782872 is about 121.2569727099.

Subtracting 1782872 from its reverse (2782871), we obtain a palindrome (999999).

The spelling of 1782872 in words is "one million, seven hundred eighty-two thousand, eight hundred seventy-two".