1834272 has 96 divisors (see below), whose sum is σ = 5866560. Its totient is φ = 552960.

The previous prime is 1834253. The next prime is 1834303. The reversal of 1834272 is 2724381.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9408 + ... + 9600.

It is an arithmetic number, because the mean of its divisors is an integer number (61110).

2^1834272 is an apocalyptic number.

1834272 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 1834272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933280).

1834272 is an abundant number, since it is smaller than the sum of its proper divisors (4032288).

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

1834272 is a wasteful number, since it uses less digits than its factorization.

1834272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 209 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 1834272 is about 1354.3529820545. The cubic root of 1834272 is about 122.4112254218.

The spelling of 1834272 in words is "one million, eight hundred thirty-four thousand, two hundred seventy-two".