72547244672 has 128 divisors (see below), whose sum is σ = 169695751680. Its totient is φ = 30245068800.

The previous prime is 72547244657. The next prime is 72547244701. The reversal of 72547244672 is 27644274527.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 72547244672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13479422 + ... + 13484802.

It is an arithmetic number, because the mean of its divisors is an integer number (1325748060).

Almost surely, 2^72547244672 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 72547244672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84847875840).

72547244672 is an abundant number, since it is smaller than the sum of its proper divisors (97148507008).

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

72547244672 is a wasteful number, since it uses less digits than its factorization.

72547244672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5810 (or 5798 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 50.

The spelling of 72547244672 in words is "seventy-two billion, five hundred forty-seven million, two hundred forty-four thousand, six hundred seventy-two".