72851053120 has 84 divisors (see below), whose sum is σ = 179665458804. Its totient is φ = 28135475200.

The previous prime is 72851053111. The next prime is 72851053127. The reversal of 72851053120 is 2135015827.

It can be written as a sum of positive squares in 6 ways, for example, as 2973302784 + 69877750336 = 54528^2 + 264344^2 .

It is not an unprimeable number, because it can be changed into a prime (72851053127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133770 + ... + 404470.

Almost surely, 2^72851053120 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 72851053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89832729402).

72851053120 is an abundant number, since it is smaller than the sum of its proper divisors (106814405684).

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

72851053120 is a wasteful number, since it uses less digits than its factorization.

72851053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270776 (or 270737 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

Adding to 72851053120 its reverse (2135015827), we get a palindrome (74986068947).

The spelling of 72851053120 in words is "seventy-two billion, eight hundred fifty-one million, fifty-three thousand, one hundred twenty".