72639466560 has 336 divisors, whose sum is σ = 258338336256. Its totient is φ = 18721898496.

The previous prime is 72639466553. The next prime is 72639466567. The reversal of 72639466560 is 6566493627.

72639466560 is a `hidden beast` number, since 7 + 2 + 6 + 39 + 46 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (72639466553) and next prime (72639466567).

It is a junction number, because it is equal to n+sod(n) for n = 72639466497 and 72639466506.

It is not an unprimeable number, because it can be changed into a prime (72639466567) 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, 12009457 + ... + 12015503.

It is an arithmetic number, because the mean of its divisors is an integer number (768864096).

Almost surely, 2^72639466560 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 72639466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129169168128).

72639466560 is an abundant number, since it is smaller than the sum of its proper divisors (185698869696).

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

72639466560 is a wasteful number, since it uses less digits than its factorization.

72639466560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6210 (or 6197 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 72639466560 in words is "seventy-two billion, six hundred thirty-nine million, four hundred sixty-six thousand, five hundred sixty".