72247128016 has 60 divisors (see below), whose sum is σ = 162954542340. Its totient is φ = 30939847680.

The previous prime is 72247128013. The next prime is 72247128047. The reversal of 72247128016 is 61082174227.

It can be written as a sum of positive squares in 2 ways, for example, as 5745033616 + 66502094400 = 75796^2 + 257880^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72247128016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72247128013) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1033170 + ... + 1100878.

It is an arithmetic number, because the mean of its divisors is an integer number (2715909039).

Almost surely, 2^72247128016 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 72247128016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81477271170).

72247128016 is an abundant number, since it is smaller than the sum of its proper divisors (90707414324).

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

72247128016 is a wasteful number, since it uses less digits than its factorization.

72247128016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69092 (or 69079 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The spelling of 72247128016 in words is "seventy-two billion, two hundred forty-seven million, one hundred twenty-eight thousand, sixteen".