72384362640 has 320 divisors, whose sum is σ = 259107225600. Its totient is φ = 18553536000.

The previous prime is 72384362593. The next prime is 72384362647. The reversal of 72384362640 is 4626348327.

72384362640 is a `hidden beast` number, since 7 + 2 + 384 + 3 + 6 + 264 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (72384362647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10107381 + ... + 10114539.

It is an arithmetic number, because the mean of its divisors is an integer number (809710080).

Almost surely, 2^72384362640 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 72384362640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129553612800).

72384362640 is an abundant number, since it is smaller than the sum of its proper divisors (186722862960).

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

72384362640 is a wasteful number, since it uses less digits than its factorization.

72384362640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7363 (or 7351 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 72384362640 in words is "seventy-two billion, three hundred eighty-four million, three hundred sixty-two thousand, six hundred forty".