72665761680 has 120 divisors (see below), whose sum is σ = 252450951480. Its totient is φ = 18709340160.

The previous prime is 72665761657. The next prime is 72665761717. The reversal of 72665761680 is 8616756627.

72665761680 is a `hidden beast` number, since 7 + 2 + 6 + 6 + 576 + 1 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30376306944 + 42289454736 = 174288^2 + 205644^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1719201 + ... + 1760960.

It is an arithmetic number, because the mean of its divisors is an integer number (2103757929).

Almost surely, 2^72665761680 is an apocalyptic number.

It is an amenable number.

72665761680 is an abundant number, since it is smaller than the sum of its proper divisors (179785189800).

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

72665761680 is a wasteful number, since it uses less digits than its factorization.

72665761680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3480209 (or 3480200 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 72665761680 in words is "seventy-two billion, six hundred sixty-five million, seven hundred sixty-one thousand, six hundred eighty".