1872144 has 30 divisors (see below), whose sum is σ = 5239806. Its totient is φ = 624000.

The previous prime is 1872137. The next prime is 1872149. The reversal of 1872144 is 4412781.

It can be written as a sum of positive squares in only one way, i.e., 1040400 + 831744 = 1020^2 + 912^2 .

It is not an unprimeable number, because it can be changed into a prime (1872149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6357 + ... + 6644.

2^1872144 is an apocalyptic number.

It is an amenable number.

1872144 is an abundant number, since it is smaller than the sum of its proper divisors (3367662).

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

1872144 is a wasteful number, since it uses less digits than its factorization.

1872144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13015 (or 13006 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 1872144 is about 1368.2631325882. The cubic root of 1872144 is about 123.2479629971.

It can be divided in two parts, 1872 and 144, that added together give a triangular number (2016 = T₆₃).

The spelling of 1872144 in words is "one million, eight hundred seventy-two thousand, one hundred forty-four".