187872 has 48 divisors (see below), whose sum is σ = 524160. Its totient is φ = 58752.

The previous prime is 187871. The next prime is 187877. The reversal of 187872 is 278781.

It is a tau number, because it is divible by the number of its divisors (48).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1773 + ... + 1875.

It is an arithmetic number, because the mean of its divisors is an integer number (10920).

2¹⁸⁷⁸⁷² is an apocalyptic number.

187872 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 187872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262080).

187872 is an abundant number, since it is smaller than the sum of its proper divisors (336288).

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

187872 is a wasteful number, since it uses less digits than its factorization.

187872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 127 counting only the distinct ones).

The product of its digits is 6272, while the sum is 33.

The square root of 187872 is about 433.4420376475. The cubic root of 187872 is about 57.2735390068.

Subtracting 187872 from its reverse (278781), we obtain a palindrome (90909).

The spelling of 187872 in words is "one hundred eighty-seven thousand, eight hundred seventy-two".