72388518048 has 288 divisors, whose sum is σ = 266157964800. Its totient is φ = 18802056960.

The previous prime is 72388518043. The next prime is 72388518049. The reversal of 72388518048 is 84081588327.

72388518048 is a `hidden beast` number, since 7 + 2 + 3 + 88 + 518 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 72388517985 and 72388518003.

It is not an unprimeable number, because it can be changed into a prime (72388518043) by changing a digit.

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, 538303 + ... + 659201.

It is an arithmetic number, because the mean of its divisors is an integer number (924159600).

Almost surely, 2^72388518048 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 72388518048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133078982400).

72388518048 is an abundant number, since it is smaller than the sum of its proper divisors (193769446752).

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

72388518048 is a wasteful number, since it uses less digits than its factorization.

72388518048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120942 (or 120922 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 72388518048 in words is "seventy-two billion, three hundred eighty-eight million, five hundred eighteen thousand, forty-eight".