78012 has 36 divisors (see below), whose sum is σ = 216216. Its totient is φ = 23520.

The previous prime is 78007. The next prime is 78017. The reversal of 78012 is 21087.

It is an interprime number because it is at equal distance from previous prime (78007) and next prime (78017).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78017) by changing a digit.

78012 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 298 + ... + 494.

It is an arithmetic number, because the mean of its divisors is an integer number (6006).

2⁷⁸⁰¹² 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 78012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108108).

78012 is an abundant number, since it is smaller than the sum of its proper divisors (138204).

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

78012 is a wasteful number, since it uses less digits than its factorization.

78012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 78012 is about 279.3062834954. The cubic root of 78012 is about 42.7287778116.

78012 divided by its sum of digits (18) gives a palindrome (4334).

Adding to 78012 its reverse (21087), we get a palindrome (99099).

The spelling of 78012 in words is "seventy-eight thousand, twelve".