72531130000 has 200 divisors, whose sum is σ = 202698365760. Its totient is φ = 24619200000.

The previous prime is 72531129997. The next prime is 72531130031. The reversal of 72531130000 is 3113527.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7064871 + ... + 7075129.

Almost surely, 2^72531130000 is an apocalyptic number.

72531130000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72531130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101349182880).

72531130000 is an abundant number, since it is smaller than the sum of its proper divisors (130167235760).

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

72531130000 is a wasteful number, since it uses less digits than its factorization.

72531130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10395 (or 10374 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

Adding to 72531130000 its reverse (3113527), we get a palindrome (72534243527).

The spelling of 72531130000 in words is "seventy-two billion, five hundred thirty-one million, one hundred thirty thousand".