72448016000 has 128 divisors (see below), whose sum is σ = 190720118160. Its totient is φ = 27274444800.

The previous prime is 72448015993. The next prime is 72448016009. The reversal of 72448016000 is 61084427.

It can be written as a sum of positive squares in 8 ways, for example, as 4885450816 + 67562565184 = 69896^2 + 259928^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (72448016009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138824 + ... + 405176.

Almost surely, 2^72448016000 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 72448016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95360059080).

72448016000 is an abundant number, since it is smaller than the sum of its proper divisors (118272102160).

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

72448016000 is a wasteful number, since it uses less digits than its factorization.

72448016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266399 (or 266377 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 72448016000 in words is "seventy-two billion, four hundred forty-eight million, sixteen thousand".