78216 has 16 divisors (see below), whose sum is σ = 195600. Its totient is φ = 26064.

The previous prime is 78203. The next prime is 78229. The reversal of 78216 is 61287.

It is an interprime number because it is at equal distance from previous prime (78203) and next prime (78229).

It is a super-2 number, since 2×78216² = 12235485312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 3259 = 78216 / (7 + 8 + 2 + 1 + 6).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1606 + ... + 1653.

It is an arithmetic number, because the mean of its divisors is an integer number (12225).

2⁷⁸²¹⁶ is an apocalyptic number.

It is an amenable number.

78216 is an abundant number, since it is smaller than the sum of its proper divisors (117384).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97800).

78216 is a wasteful number, since it uses less digits than its factorization.

78216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268 (or 3264 counting only the distinct ones).

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

The square root of 78216 is about 279.6712355606. The cubic root of 78216 is about 42.7659903931.

The spelling of 78216 in words is "seventy-eight thousand, two hundred sixteen".