287112672 has 288 divisors, whose sum is σ = 1035949824. Its totient is φ = 73877760.

The previous prime is 287112589. The next prime is 287112733. The reversal of 287112672 is 276211782.

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

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2683243 + ... + 2683349.

It is an arithmetic number, because the mean of its divisors is an integer number (3597048).

Almost surely, 2^287112672 is an apocalyptic number.

287112672 is a gapful number since it is divisible by the number (22) 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 287112672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517974912).

287112672 is an abundant number, since it is smaller than the sum of its proper divisors (748837152).

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

287112672 is a wasteful number, since it uses less digits than its factorization.

287112672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 130 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 287112672 is about 16944.3994287198. The cubic root of 287112672 is about 659.7065361996.

The spelling of 287112672 in words is "two hundred eighty-seven million, one hundred twelve thousand, six hundred seventy-two".