287683740072 has 192 divisors, whose sum is σ = 840270412800. Its totient is φ = 92099669760.

The previous prime is 287683740049. The next prime is 287683740079. The reversal of 287683740072 is 270047386782.

287683740072 is a `hidden beast` number, since 2 + 87 + 68 + 37 + 400 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (287683740079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10754458 + ... + 10781174.

It is an arithmetic number, because the mean of its divisors is an integer number (4376408400).

Almost surely, 2^287683740072 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 287683740072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420135206400).

287683740072 is an abundant number, since it is smaller than the sum of its proper divisors (552586672728).

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

287683740072 is a wasteful number, since it uses less digits than its factorization.

287683740072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26958 (or 26942 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 287683740072 in words is "two hundred eighty-seven billion, six hundred eighty-three million, seven hundred forty thousand, seventy-two".