87216 has 40 divisors (see below), whose sum is σ = 238080. Its totient is φ = 27456.

The previous prime is 87211. The next prime is 87221. The reversal of 87216 is 61278.

It is an interprime number because it is at equal distance from previous prime (87211) and next prime (87221).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (87211) by changing a digit.

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, 1065 + ... + 1143.

It is an arithmetic number, because the mean of its divisors is an integer number (5952).

2⁸⁷²¹⁶ 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 87216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119040).

87216 is an abundant number, since it is smaller than the sum of its proper divisors (150864).

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

87216 is a wasteful number, since it uses less digits than its factorization.

87216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 87216 is about 295.3235513805. The cubic root of 87216 is about 44.3471166495.

It can be divided in two parts, 8721 and 6, that multiplied together give a triangular number (52326 = T₃₂₃).

The spelling of 87216 in words is "eighty-seven thousand, two hundred sixteen".