72467348899968 has 768 divisors, whose sum is σ = 242340124752000. Its totient is φ = 21141446860800.

The previous prime is 72467348899943. The next prime is 72467348899991. The reversal of 72467348899968 is 86999884376427.

72467348899968 is a `hidden beast` number, since 7 + 2 + 4 + 67 + 3 + 488 + 9 + 9 + 9 + 68 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7197070038 + ... + 7197080106.

Almost surely, 2^{72467348899968} 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 72467348899968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121170062376000).

72467348899968 is an abundant number, since it is smaller than the sum of its proper divisors (169872775852032).

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

72467348899968 is a wasteful number, since it uses less digits than its factorization.

72467348899968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10362 (or 10313 counting only the distinct ones).

The product of its digits is 63207309312, while the sum is 90.

The spelling of 72467348899968 in words is "seventy-two trillion, four hundred sixty-seven billion, three hundred forty-eight million, eight hundred ninety-nine thousand, nine hundred sixty-eight".