287972 has 6 divisors (see below), whose sum is σ = 503958. Its totient is φ = 143984.

The previous prime is 287939. The next prime is 287977. The reversal of 287972 is 279782.

It can be written as a sum of positive squares in only one way, i.e., 287296 + 676 = 536^2 + 26^2 .

It is not an unprimeable number, because it can be changed into a prime (287977) by changing a digit.

287972 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, 35993 + ... + 36000.

It is an arithmetic number, because the mean of its divisors is an integer number (83993).

2²⁸⁷⁹⁷² is an apocalyptic number.

It is an amenable number.

287972 is a deficient number, since it is larger than the sum of its proper divisors (215986).

287972 is a wasteful number, since it uses less digits than its factorization.

287972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71997 (or 71995 counting only the distinct ones).

The product of its digits is 14112, while the sum is 35.

The square root of 287972 is about 536.6302265061. The cubic root of 287972 is about 66.0364047705.

It can be divided in two parts, 28 and 7972, that added together give a cube (8000 = 20³).

The spelling of 287972 in words is "two hundred eighty-seven thousand, nine hundred seventy-two".