72684682560 has 896 divisors, whose sum is σ = 305441786880. Its totient is φ = 16124313600.

The previous prime is 72684682519. The next prime is 72684682583. The reversal of 72684682560 is 6528648627.

72684682560 is a `hidden beast` number, since 72 + 6 + 8 + 4 + 6 + 8 + 2 + 560 = 666.

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 = 72684682497 and 72684682506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 181258360 + ... + 181258760.

Almost surely, 2^72684682560 is an apocalyptic number.

72684682560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72684682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152720893440).

72684682560 is an abundant number, since it is smaller than the sum of its proper divisors (232757104320).

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

72684682560 is an equidigital number, since it uses as much as digits as its factorization.

72684682560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 72684682560 in words is "seventy-two billion, six hundred eighty-four million, six hundred eighty-two thousand, five hundred sixty".