72820766220 has 96 divisors (see below), whose sum is σ = 205704339456. Its totient is φ = 19247155200.

The previous prime is 72820766173. The next prime is 72820766311. The reversal of 72820766220 is 2266702827.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8918940 + ... + 8927100.

It is an arithmetic number, because the mean of its divisors is an integer number (2142753536).

Almost surely, 2^72820766220 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 72820766220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102852169728).

72820766220 is an abundant number, since it is smaller than the sum of its proper divisors (132883573236).

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

72820766220 is a wasteful number, since it uses less digits than its factorization.

72820766220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9471 (or 9469 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 72820766220 in words is "seventy-two billion, eight hundred twenty million, seven hundred sixty-six thousand, two hundred twenty".