72680814000 has 960 divisors, whose sum is σ = 294041180160. Its totient is φ = 17244057600.

The previous prime is 72680813999. The next prime is 72680814001. The reversal of 72680814000 is 41808627.

It is an interprime number because it is at equal distance from previous prime (72680813999) and next prime (72680814001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72680814001) 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 191 ways as a sum of consecutive naturals, for example, 156977769 + ... + 156978231.

It is an arithmetic number, because the mean of its divisors is an integer number (306292896).

Almost surely, 2^72680814000 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 72680814000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147020590080).

72680814000 is an abundant number, since it is smaller than the sum of its proper divisors (221360366160).

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

72680814000 is a wasteful number, since it uses less digits than its factorization.

72680814000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 72680814000 in words is "seventy-two billion, six hundred eighty million, eight hundred fourteen thousand".