72516000000 has 252 divisors, whose sum is σ = 241284724016. Its totient is φ = 19334400000.

The previous prime is 72515999977. The next prime is 72516000019. The reversal of 72516000000 is 61527.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11996979 + ... + 12003021.

Almost surely, 2^72516000000 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 72516000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120642362008).

72516000000 is an abundant number, since it is smaller than the sum of its proper divisors (168768724016).

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

72516000000 is an frugal number, since it uses more digits than its factorization.

72516000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6092 (or 6053 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

Adding to 72516000000 its reverse (61527), we get a palindrome (72516061527).

The spelling of 72516000000 in words is "seventy-two billion, five hundred sixteen million", and thus it is an aban number.