191872 has 16 divisors (see below), whose sum is σ = 382500. Its totient is φ = 95872.

The previous prime is 191861. The next prime is 191899. The reversal of 191872 is 278191.

It is a tau number, because it is divible by the number of its divisors (16).

It is a self number, because there is not a number n which added to its sum of digits gives 191872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 622 + ... + 877.

2¹⁹¹⁸⁷² is an apocalyptic number.

It is an amenable number.

191872 is a deficient number, since it is larger than the sum of its proper divisors (190628).

191872 is an equidigital number, since it uses as much as digits as its factorization.

191872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1501 counting only the distinct ones).

The product of its digits is 1008, while the sum is 28.

The square root of 191872 is about 438.0319623041. The cubic root of 191872 is about 57.6771599662.

Subtracting from 191872 its sum of digits (28), we obtain a square (191844 = 438²).

It can be divided in two parts, 19 and 1872, that added together give a triangular number (1891 = T₆₁).

The spelling of 191872 in words is "one hundred ninety-one thousand, eight hundred seventy-two".