987072 has 56 divisors (see below), whose sum is σ = 2688336. Its totient is φ = 319488.

The previous prime is 987067. The next prime is 987079. The reversal of 987072 is 270789.

987072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×987072² = 1948622266368, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10128 + ... + 10224.

It is an arithmetic number, because the mean of its divisors is an integer number (48006).

2⁹⁸⁷⁰⁷² 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 987072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344168).

987072 is an abundant number, since it is smaller than the sum of its proper divisors (1701264).

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

987072 is a wasteful number, since it uses less digits than its factorization.

987072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 987072 is about 993.5149722073. The cubic root of 987072 is about 99.5671961776.

The spelling of 987072 in words is "nine hundred eighty-seven thousand, seventy-two".