987687072 has 72 divisors (see below), whose sum is σ = 2844354240. Its totient is φ = 325054080.

The previous prime is 987687067. The next prime is 987687073. The reversal of 987687072 is 270786789.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (987687073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1047 + ... + 44457.

It is an arithmetic number, because the mean of its divisors is an integer number (39504920).

Almost surely, 2^987687072 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 987687072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422177120).

987687072 is an abundant number, since it is smaller than the sum of its proper divisors (1856667168).

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

987687072 is a wasteful number, since it uses less digits than its factorization.

987687072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43506 (or 43495 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The square root of 987687072 is about 31427.4891138315. The cubic root of 987687072 is about 995.8787291261.

The spelling of 987687072 in words is "nine hundred eighty-seven million, six hundred eighty-seven thousand, seventy-two".