287062272 has 288 divisors, whose sum is σ = 1030176000. Its totient is φ = 76972032.

The previous prime is 287062267. The next prime is 287062273. The reversal of 287062272 is 272260782.

287062272 is a `hidden beast` number, since 28 + 7 + 0 + 622 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (287062273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 822354 + ... + 822702.

It is an arithmetic number, because the mean of its divisors is an integer number (3577000).

Almost surely, 2^287062272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287062272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515088000).

287062272 is an abundant number, since it is smaller than the sum of its proper divisors (743113728).

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

287062272 is a wasteful number, since it uses less digits than its factorization.

287062272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 287062272 is about 16942.9121463814. The cubic root of 287062272 is about 659.6679321272.

The spelling of 287062272 in words is "two hundred eighty-seven million, sixty-two thousand, two hundred seventy-two".