987272 has 32 divisors (see below), whose sum is σ = 2177280. Its totient is φ = 413760.

The previous prime is 987251. The next prime is 987293. The reversal of 987272 is 272789.

It is an interprime number because it is at equal distance from previous prime (987251) and next prime (987293).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 713 + ... + 1575.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

2⁹⁸⁷²⁷² 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 987272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088640).

987272 is an abundant number, since it is smaller than the sum of its proper divisors (1190008).

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

987272 is a wasteful number, since it uses less digits than its factorization.

987272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 889 counting only the distinct ones).

The product of its digits is 14112, while the sum is 35.

The square root of 987272 is about 993.6156198450. The cubic root of 987272 is about 99.5739204741.

The spelling of 987272 in words is "nine hundred eighty-seven thousand, two hundred seventy-two".