72253783680 has 512 divisors, whose sum is σ = 262550937600. Its totient is φ = 16754688000.

The previous prime is 72253783669. The next prime is 72253783747. The reversal of 72253783680 is 8638735227.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119033937 + ... + 119034543.

It is an arithmetic number, because the mean of its divisors is an integer number (512794800).

Almost surely, 2^72253783680 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 72253783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131275468800).

72253783680 is an abundant number, since it is smaller than the sum of its proper divisors (190297153920).

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

72253783680 is a wasteful number, since it uses less digits than its factorization.

72253783680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 72253783680 in words is "seventy-two billion, two hundred fifty-three million, seven hundred eighty-three thousand, six hundred eighty".