78493203072 has 48 divisors (see below), whose sum is σ = 225872371530. Its totient is φ = 26164400640.

The previous prime is 78493203067. The next prime is 78493203109. The reversal of 78493203072 is 27030239487.

78493203072 is a `hidden beast` number, since 78 + 493 + 20 + 3 + 0 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72628094016 + 5865109056 = 269496^2 + 76584^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×78493203072² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34067079 + ... + 34069382.

Almost surely, 2^78493203072 is an apocalyptic number.

78493203072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

78493203072 is an abundant number, since it is smaller than the sum of its proper divisors (147379168458).

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

78493203072 is a wasteful number, since it uses less digits than its factorization.

78493203072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68136481 (or 68136466 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 78493203072 in words is "seventy-eight billion, four hundred ninety-three million, two hundred three thousand, seventy-two".