72078339200 has 384 divisors, whose sum is σ = 215724288000. Its totient is φ = 23245885440.

The previous prime is 72078339167. The next prime is 72078339209. The reversal of 72078339200 is 293387027.

It is not an unprimeable number, because it can be changed into a prime (72078339209) 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 47 ways as a sum of consecutive naturals, for example, 69372281 + ... + 69373319.

It is an arithmetic number, because the mean of its divisors is an integer number (561782000).

Almost surely, 2^72078339200 is an apocalyptic number.

72078339200 is a gapful number since it is divisible by the number (70) 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 72078339200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107862144000).

72078339200 is an abundant number, since it is smaller than the sum of its proper divisors (143645948800).

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

72078339200 is a wasteful number, since it uses less digits than its factorization.

72078339200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The spelling of 72078339200 in words is "seventy-two billion, seventy-eight million, three hundred thirty-nine thousand, two hundred".