78312192 has 108 divisors (see below), whose sum is σ = 242569656. Its totient is φ = 22364160.

The previous prime is 78312191. The next prime is 78312197. The reversal of 78312192 is 29121387.

It is a super-2 number, since 2×78312192² = 12265598831689728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78312191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36592 + ... + 38672.

Almost surely, 2^78312192 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 78312192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121284828).

78312192 is an abundant number, since it is smaller than the sum of its proper divisors (164257464).

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

78312192 is a wasteful number, since it uses less digits than its factorization.

78312192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2093 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 78312192 is about 8849.4176079559. The cubic root of 78312192 is about 427.8351477388.

The spelling of 78312192 in words is "seventy-eight million, three hundred twelve thousand, one hundred ninety-two".