72807873471648 has 288 divisors, whose sum is σ = 237155189596416. Its totient is φ = 20755741999104.

The previous prime is 72807873471629. The next prime is 72807873471649. The reversal of 72807873471648 is 84617437870827.

72807873471648 is a `hidden beast` number, since 7 + 2 + 80 + 7 + 8 + 73 + 471 + 6 + 4 + 8 = 666.

72807873471648 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 (72).

It is not an unprimeable number, because it can be changed into a prime (72807873471649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1727043786 + ... + 1727085942.

It is an arithmetic number, because the mean of its divisors is an integer number (823455519432).

Almost surely, 2^{72807873471648} 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 72807873471648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118577594798208).

72807873471648 is an abundant number, since it is smaller than the sum of its proper divisors (164347316124768).

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

72807873471648 is a wasteful number, since it uses less digits than its factorization.

72807873471648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44076 (or 44065 counting only the distinct ones).

The product of its (nonzero) digits is 708083712, while the sum is 72.

The spelling of 72807873471648 in words is "seventy-two trillion, eight hundred seven billion, eight hundred seventy-three million, four hundred seventy-one thousand, six hundred forty-eight".