152172

152172 is a natural number that follows 152171 and precedes 152173. It is an even composite number and is often cited in number theory as an example of an abundant number.

Prime factorization: 152172 = 2^2 × 3^3 × 1409. This factorization shows the number is divisible by 4, 9, and 36, and identifies the prime factors 2, 3, and 1409, with 1409 being prime and the largest prime factor.

Divisibility and digit properties: The sum of its digits is 18, so the number is divisible by 9 and by 18, making 152172 a Harshad (Niven) number in base 10.

Divisor sum and abundance: The sum of all divisors is sigma(152172) = 394,800; the sum of proper divisors is 242,628. Since this exceeds the number itself, 152172 is classified as an abundant number, with an abundance ratio of about 1.594 (sum of proper divisors divided by the number).

Overview: The number’s prime factorization reveals a small prime structure (2 and 3) combined with a larger prime factor (1409). Its status as an abundant, Harshad, even composite number places it within common arithmetic classifications rather than any unique or exceptional category.