1780072 has 48 divisors (see below), whose sum is σ = 4104000. Its totient is φ = 719712.

The previous prime is 1780069. The next prime is 1780081. The reversal of 1780072 is 2700871.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7329 + ... + 7567.

It is an arithmetic number, because the mean of its divisors is an integer number (85500).

2^1780072 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 1780072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052000).

1780072 is an abundant number, since it is smaller than the sum of its proper divisors (2323928).

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

1780072 is a wasteful number, since it uses less digits than its factorization.

1780072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 1780072 is about 1334.1933892806. The cubic root of 1780072 is about 121.1934614357.

It can be divided in two parts, 17 and 80072, that added together give a square (80089 = 283²).

The spelling of 1780072 in words is "one million, seven hundred eighty thousand, seventy-two".