72780264960 has 160 divisors (see below), whose sum is σ = 250567400160. Its totient is φ = 17915117568.

The previous prime is 72780264881. The next prime is 72780265001. The reversal of 72780264960 is 6946208727.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264645 + ... + 464324.

It is an arithmetic number, because the mean of its divisors is an integer number (1566046251).

Almost surely, 2^72780264960 is an apocalyptic number.

It is an amenable number.

72780264960 is an abundant number, since it is smaller than the sum of its proper divisors (177787135200).

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

72780264960 is a wasteful number, since it uses less digits than its factorization.

72780264960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729008 (or 728992 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 72780264960 in words is "seventy-two billion, seven hundred eighty million, two hundred sixty-four thousand, nine hundred sixty".