72835614720 has 672 divisors, whose sum is σ = 286166986560. Its totient is φ = 17637212160.

The previous prime is 72835614713. The next prime is 72835614743. The reversal of 72835614720 is 2741653827.

72835614720 is a `hidden beast` number, since 7 + 2 + 8 + 3 + 5 + 614 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 82114117 + ... + 82115003.

It is an arithmetic number, because the mean of its divisors is an integer number (425843730).

Almost surely, 2^72835614720 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 72835614720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143083493280).

72835614720 is an abundant number, since it is smaller than the sum of its proper divisors (213331371840).

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

72835614720 is an equidigital number, since it uses as much as digits as its factorization.

72835614720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 72835614720 in words is "seventy-two billion, eight hundred thirty-five million, six hundred fourteen thousand, seven hundred twenty".