78368472 has 192 divisors, whose sum is σ = 271514880. Its totient is φ = 20621952.

The previous prime is 78368467. The next prime is 78368491. The reversal of 78368472 is 27486387.

It is a happy number.

It is a super-2 number, since 2×78368472² = 12283234807229568, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176683 + ... + 177125.

It is an arithmetic number, because the mean of its divisors is an integer number (1414140).

Almost surely, 2^78368472 is an apocalyptic number.

78368472 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 78368472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135757440).

78368472 is an abundant number, since it is smaller than the sum of its proper divisors (193146408).

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

78368472 is a wasteful number, since it uses less digits than its factorization.

78368472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 468 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 78368472 is about 8852.5969071228. The cubic root of 78368472 is about 427.9376128241.

The spelling of 78368472 in words is "seventy-eight million, three hundred sixty-eight thousand, four hundred seventy-two".