72850700160 has 384 divisors, whose sum is σ = 298152691200. Its totient is φ = 16651339776.

The previous prime is 72850700033. The next prime is 72850700173. The reversal of 72850700160 is 6100705827.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1055181 + ... + 1122099.

It is an arithmetic number, because the mean of its divisors is an integer number (776439300).

Almost surely, 2^72850700160 is an apocalyptic number.

72850700160 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 72850700160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149076345600).

72850700160 is an abundant number, since it is smaller than the sum of its proper divisors (225301991040).

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

72850700160 is an equidigital number, since it uses as much as digits as its factorization.

72850700160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66960 (or 66936 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 72850700160 in words is "seventy-two billion, eight hundred fifty million, seven hundred thousand, one hundred sixty".