72615024000 has 384 divisors, whose sum is σ = 276127937280. Its totient is φ = 18224332800.

The previous prime is 72615023993. The next prime is 72615024047. The reversal of 72615024000 is 42051627.

72615024000 is a `hidden beast` number, since 7 + 2 + 615 + 0 + 2 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 2433169 + ... + 2462831.

It is an arithmetic number, because the mean of its divisors is an integer number (719083170).

Almost surely, 2^72615024000 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 72615024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138063968640).

72615024000 is an abundant number, since it is smaller than the sum of its proper divisors (203512913280).

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

72615024000 is a wasteful number, since it uses less digits than its factorization.

72615024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29715 (or 29690 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 72615024000 its reverse (42051627), we get a palindrome (72657075627).

The spelling of 72615024000 in words is "seventy-two billion, six hundred fifteen million, twenty-four thousand".