72745326206880 has 48 divisors (see below), whose sum is σ = 229147777553184. Its totient is φ = 19398753655040.

The previous prime is 72745326206843. The next prime is 72745326206887. The reversal of 72745326206880 is 8860262354727.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (72745326206887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75776380986 + ... + 75776381945.

It is an arithmetic number, because the mean of its divisors is an integer number (4773912032358).

Almost surely, 2^{72745326206880} is an apocalyptic number.

It is an amenable number.

72745326206880 is an abundant number, since it is smaller than the sum of its proper divisors (156402451346304).

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

72745326206880 is a wasteful number, since it uses less digits than its factorization.

72745326206880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151552762949 (or 151552762941 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 60.

The spelling of 72745326206880 in words is "seventy-two trillion, seven hundred forty-five billion, three hundred twenty-six million, two hundred six thousand, eight hundred eighty".