72399536640 has 480 divisors, whose sum is σ = 261869864256. Its totient is φ = 19170017280.

The previous prime is 72399536639. The next prime is 72399536653. The reversal of 72399536640 is 4663599327.

72399536640 is a `hidden beast` number, since 7 + 239 + 9 + 5 + 366 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 112596159 + ... + 112596801.

Almost surely, 2^72399536640 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 72399536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130934932128).

72399536640 is an abundant number, since it is smaller than the sum of its proper divisors (189470327616).

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

72399536640 is an equidigital number, since it uses as much as digits as its factorization.

72399536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 72399536640 in words is "seventy-two billion, three hundred ninety-nine million, five hundred thirty-six thousand, six hundred forty".