72399552000 has 640 divisors, whose sum is σ = 251500474368. Its totient is φ = 18464768000.

The previous prime is 72399551981. The next prime is 72399552073. The reversal of 72399552000 is 25599327.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 640703944 + ... + 640704056.

Almost surely, 2^72399552000 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 72399552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125750237184).

72399552000 is an abundant number, since it is smaller than the sum of its proper divisors (179100922368).

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

72399552000 is a wasteful number, since it uses less digits than its factorization.

72399552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The spelling of 72399552000 in words is "seventy-two billion, three hundred ninety-nine million, five hundred fifty-two thousand".