72088424448 has 104 divisors (see below), whose sum is σ = 194081878848. Its totient is φ = 23795761152.

The previous prime is 72088424407. The next prime is 72088424453. The reversal of 72088424448 is 84442488027.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 72088424448.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1237186 + ... + 1294142.

It is an arithmetic number, because the mean of its divisors is an integer number (1866171912).

Almost surely, 2^72088424448 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 72088424448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97040939424).

72088424448 is an abundant number, since it is smaller than the sum of its proper divisors (121993454400).

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

72088424448 is a wasteful number, since it uses less digits than its factorization.

72088424448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57087 (or 57065 counting only the distinct ones).

The product of its (nonzero) digits is 3670016, while the sum is 51.

The spelling of 72088424448 in words is "seventy-two billion, eighty-eight million, four hundred twenty-four thousand, four hundred forty-eight".