1782072 has 48 divisors (see below), whose sum is σ = 4928040. Its totient is φ = 581568.

The previous prime is 1782071. The next prime is 1782083. The reversal of 1782072 is 2702871.

It is a super-2 number, since 2×1782072² = 6351561226368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1782071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3583 + ... + 4049.

2^1782072 is an apocalyptic number.

1782072 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 1782072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464020).

1782072 is an abundant number, since it is smaller than the sum of its proper divisors (3145968).

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

1782072 is a wasteful number, since it uses less digits than its factorization.

1782072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 1782072 is about 1334.9426953993. The cubic root of 1782072 is about 121.2388334209.

The spelling of 1782072 in words is "one million, seven hundred eighty-two thousand, seventy-two".