78481872 has 200 divisors, whose sum is σ = 267191232. Its totient is φ = 21772800.

The previous prime is 78481867. The next prime is 78481873. The reversal of 78481872 is 27818487.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78481873) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 371847 + ... + 372057.

Almost surely, 2^78481872 is an apocalyptic number.

78481872 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 78481872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133595616).

78481872 is an abundant number, since it is smaller than the sum of its proper divisors (188709360).

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

78481872 is a wasteful number, since it uses less digits than its factorization.

78481872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its digits is 200704, while the sum is 45.

The square root of 78481872 is about 8858.9994920420. Note that the first 3 decimals coincide. The cubic root of 78481872 is about 428.1439234145.

The spelling of 78481872 in words is "seventy-eight million, four hundred eighty-one thousand, eight hundred seventy-two".