72966440080 has 20 divisors (see below), whose sum is σ = 169646973372. Its totient is φ = 29186576000.

The previous prime is 72966440051. The next prime is 72966440081. The reversal of 72966440080 is 8004466927.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8993866896 + 63972573184 = 94836^2 + 252928^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 72966440080.

It is not an unprimeable number, because it can be changed into a prime (72966440081) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 456040171 + ... + 456040330.

Almost surely, 2^72966440080 is an apocalyptic number.

It is an amenable number.

72966440080 is an abundant number, since it is smaller than the sum of its proper divisors (96680533292).

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

72966440080 is a wasteful number, since it uses less digits than its factorization.

72966440080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912080514 (or 912080508 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 72966440080 in words is "seventy-two billion, nine hundred sixty-six million, four hundred forty thousand, eighty".