72302909019264 has 1024 divisors, whose sum is σ = 284074286284800. Its totient is φ = 17545637007360.

The previous prime is 72302909019251. The next prime is 72302909019281. The reversal of 72302909019264 is 46291090920327.

72302909019264 is a `hidden beast` number, since 7 + 2 + 3 + 0 + 290 + 90 + 1 + 9 + 264 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72302909019264.

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 127 ways as a sum of consecutive naturals, for example, 263047407 + ... + 263322129.

It is an arithmetic number, because the mean of its divisors is an integer number (277416295200).

Almost surely, 2^{72302909019264} 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 72302909019264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142037143142400).

72302909019264 is an abundant number, since it is smaller than the sum of its proper divisors (211771377265536).

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

72302909019264 is a wasteful number, since it uses less digits than its factorization.

72302909019264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274830 (or 274812 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 72302909019264 in words is "seventy-two trillion, three hundred two billion, nine hundred nine million, nineteen thousand, two hundred sixty-four".