72506411460528 has 80 divisors (see below), whose sum is σ = 189960711736320. Its totient is φ = 23827763905792.

The previous prime is 72506411460421. The next prime is 72506411460551. The reversal of 72506411460528 is 82506411460527.

72506411460528 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×72506411460528² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17088951 + ... + 20905622.

It is an arithmetic number, because the mean of its divisors is an integer number (2374508896704).

Almost surely, 2^{72506411460528} is an apocalyptic number.

It is an amenable number.

72506411460528 is an abundant number, since it is smaller than the sum of its proper divisors (117454300275792).

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

72506411460528 is a wasteful number, since it uses less digits than its factorization.

72506411460528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37995146 (or 37995140 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

Subtracting 72506411460528 from its reverse (82506411460527), we obtain a palindrome (9999999999999).

The spelling of 72506411460528 in words is "seventy-two trillion, five hundred six billion, four hundred eleven million, four hundred sixty thousand, five hundred twenty-eight".