1810272 has 48 divisors (see below), whose sum is σ = 4823280. Its totient is φ = 594432.

The previous prime is 1810271. The next prime is 1810283. The reversal of 1810272 is 2720181.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1810271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10378 + ... + 10550.

It is an arithmetic number, because the mean of its divisors is an integer number (100485).

2^1810272 is an apocalyptic number.

1810272 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 1810272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411640).

1810272 is an abundant number, since it is smaller than the sum of its proper divisors (3013008).

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

1810272 is a wasteful number, since it uses less digits than its factorization.

1810272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 1810272 is about 1345.4634889138. The cubic root of 1810272 is about 121.8749951348.

Subtracting 1810272 from its reverse (2720181), we obtain a palindrome (909909).

The spelling of 1810272 in words is "one million, eight hundred ten thousand, two hundred seventy-two".