78038592072 has 576 divisors, whose sum is σ = 258179685120. Its totient is φ = 19520557056.

The previous prime is 78038592019. The next prime is 78038592077. The reversal of 78038592072 is 27029583087.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (78038592077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 497061018 + ... + 497061174.

It is an arithmetic number, because the mean of its divisors is an integer number (448228620).

Almost surely, 2^78038592072 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 78038592072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129089842560).

78038592072 is an abundant number, since it is smaller than the sum of its proper divisors (180141093048).

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

78038592072 is a wasteful number, since it uses less digits than its factorization.

78038592072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 78038592072 in words is "seventy-eight billion, thirty-eight million, five hundred ninety-two thousand, seventy-two".