187972 has 6 divisors (see below), whose sum is σ = 328958. Its totient is φ = 93984.

The previous prime is 187963. The next prime is 187973. The reversal of 187972 is 279781.

187972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 112896 + 75076 = 336^2 + 274^2 .

It is not an unprimeable number, because it can be changed into a prime (187973) by changing a digit.

187972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23493 + ... + 23500.

2¹⁸⁷⁹⁷² is an apocalyptic number.

It is an amenable number.

187972 is a deficient number, since it is larger than the sum of its proper divisors (140986).

187972 is a wasteful number, since it uses less digits than its factorization.

187972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46997 (or 46995 counting only the distinct ones).

The product of its digits is 7056, while the sum is 34.

The square root of 187972 is about 433.5573779790. The cubic root of 187972 is about 57.2836990058.

Subtracting 187972 from its reverse (279781), we obtain a square (91809 = 303²).

The spelling of 187972 in words is "one hundred eighty-seven thousand, nine hundred seventy-two".