72064507680 has 336 divisors, whose sum is σ = 278472406464. Its totient is φ = 17469872640.

The previous prime is 72064507657. The next prime is 72064507687. The reversal of 72064507680 is 8670546027.

72064507680 is a `hidden beast` number, since 7 + 2 + 0 + 64 + 507 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (72064507687) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1254957 + ... + 1311123.

It is an arithmetic number, because the mean of its divisors is an integer number (828786924).

Almost surely, 2^72064507680 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 72064507680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139236203232).

72064507680 is an abundant number, since it is smaller than the sum of its proper divisors (206407898784).

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

72064507680 is a wasteful number, since it uses less digits than its factorization.

72064507680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56211 (or 56188 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 72064507680 in words is "seventy-two billion, sixty-four million, five hundred seven thousand, six hundred eighty".