72511010312 has 64 divisors (see below), whose sum is σ = 147805183680. Its totient is φ = 33150580992.

The previous prime is 72511010309. The next prime is 72511010339. The reversal of 72511010312 is 21301011527.

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 15 ways as a sum of consecutive naturals, for example, 5197298 + ... + 5211230.

It is an arithmetic number, because the mean of its divisors is an integer number (2309455995).

Almost surely, 2^72511010312 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 72511010312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73902591840).

72511010312 is an abundant number, since it is smaller than the sum of its proper divisors (75294173368).

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

72511010312 is a wasteful number, since it uses less digits than its factorization.

72511010312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14422 (or 14418 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 23.

Adding to 72511010312 its reverse (21301011527), we get a palindrome (93812021839).

The spelling of 72511010312 in words is "seventy-two billion, five hundred eleven million, ten thousand, three hundred twelve".