78566112 has 120 divisors (see below), whose sum is σ = 244789776. Its totient is φ = 24634368.

The previous prime is 78566099. The next prime is 78566119. The reversal of 78566112 is 21166587.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78566119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43173 + ... + 44955.

Almost surely, 2^78566112 is an apocalyptic number.

78566112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78566112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122394888).

78566112 is an abundant number, since it is smaller than the sum of its proper divisors (166223664).

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

78566112 is a wasteful number, since it uses less digits than its factorization.

78566112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1805 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 78566112 is about 8863.7527041316. The cubic root of 78566112 is about 428.2970540953.

The spelling of 78566112 in words is "seventy-eight million, five hundred sixty-six thousand, one hundred twelve".