1872192 has 84 divisors (see below), whose sum is σ = 5791200. Its totient is φ = 532224.

The previous prime is 1872173. The next prime is 1872217. The reversal of 1872192 is 2912781.

It is a tau number, because it is divible by the number of its divisors (84).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9309 + ... + 9507.

2^1872192 is an apocalyptic number.

1872192 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 1872192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895600).

1872192 is an abundant number, since it is smaller than the sum of its proper divisors (3919008).

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

1872192 is a wasteful number, since it uses less digits than its factorization.

1872192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 211 counting only the distinct ones).

The product of its digits is 2016, while the sum is 30.

The square root of 1872192 is about 1368.2806729615. The cubic root of 1872192 is about 123.2490163085.

It can be divided in two parts, 187 and 2192, that multiplied together give a palindrome (409904).

The spelling of 1872192 in words is "one million, eight hundred seventy-two thousand, one hundred ninety-two".