1780272 has 80 divisors (see below), whose sum is σ = 5520480. Its totient is φ = 546048.

The previous prime is 1780271. The next prime is 1780277. The reversal of 1780272 is 2720871.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1780271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5458 + ... + 5774.

It is an arithmetic number, because the mean of its divisors is an integer number (69006).

2^1780272 is an apocalyptic number.

1780272 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 1780272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760240).

1780272 is an abundant number, since it is smaller than the sum of its proper divisors (3740208).

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

1780272 is a wasteful number, since it uses less digits than its factorization.

1780272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 335 counting only the distinct ones).

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

The square root of 1780272 is about 1334.2683388284. The cubic root of 1780272 is about 121.1980001631.

The spelling of 1780272 in words is "one million, seven hundred eighty thousand, two hundred seventy-two".