72680698675200 has 3888 divisors, whose sum is σ = 325282259665440. Its totient is φ = 14242598092800.

The previous prime is 72680698675181. The next prime is 72680698675223. The reversal of 72680698675200 is 257689608627.

72680698675200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1690248806379 + ... + 1690248806421.

It is an arithmetic number, because the mean of its divisors is an integer number (83663132630).

Almost surely, 2^{72680698675200} is an apocalyptic number.

72680698675200 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 72680698675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162641129832720).

72680698675200 is an abundant number, since it is smaller than the sum of its proper divisors (252601560990240).

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

72680698675200 is a wasteful number, since it uses less digits than its factorization.

72680698675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 66.

The spelling of 72680698675200 in words is "seventy-two trillion, six hundred eighty billion, six hundred ninety-eight million, six hundred seventy-five thousand, two hundred".