72265124984 has 128 divisors (see below), whose sum is σ = 155092008960. Its totient is φ = 31328640000.

The previous prime is 72265124977. The next prime is 72265125007. The reversal of 72265124984 is 48942156227.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 27889529 + ... + 27892119.

It is an arithmetic number, because the mean of its divisors is an integer number (1211656320).

Almost surely, 2^72265124984 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 72265124984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77546004480).

72265124984 is an abundant number, since it is smaller than the sum of its proper divisors (82826883976).

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

72265124984 is a wasteful number, since it uses less digits than its factorization.

72265124984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893 (or 2889 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 50.

The spelling of 72265124984 in words is "seventy-two billion, two hundred sixty-five million, one hundred twenty-four thousand, nine hundred eighty-four".