72820101120 has 832 divisors, whose sum is σ = 275834087424. Its totient is φ = 16231956480.

The previous prime is 72820101097. The next prime is 72820101161. The reversal of 72820101120 is 2110102827.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 420925354 + ... + 420925526.

Almost surely, 2^72820101120 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 72820101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137917043712).

72820101120 is an abundant number, since it is smaller than the sum of its proper divisors (203013986304).

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

72820101120 is a wasteful number, since it uses less digits than its factorization.

72820101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

Adding to 72820101120 its reverse (2110102827), we get a palindrome (74930203947).

The spelling of 72820101120 in words is "seventy-two billion, eight hundred twenty million, one hundred one thousand, one hundred twenty".