1830272 has 32 divisors (see below), whose sum is σ = 3712800. Its totient is φ = 898560.

The previous prime is 1830263. The next prime is 1830287. The reversal of 1830272 is 2720381.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10022 + ... + 10202.

It is an arithmetic number, because the mean of its divisors is an integer number (116025).

2^1830272 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 1830272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856400).

1830272 is an abundant number, since it is smaller than the sum of its proper divisors (1882528).

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

1830272 is an equidigital number, since it uses as much as digits as its factorization.

1830272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 1830272 is about 1352.8754562043. The cubic root of 1830272 is about 122.3221798756.

The spelling of 1830272 in words is "one million, eight hundred thirty thousand, two hundred seventy-two".