72405446688 has 144 divisors (see below), whose sum is σ = 208567227960. Its totient is φ = 23824171008.

The previous prime is 72405446669. The next prime is 72405446713. The reversal of 72405446688 is 88664450427.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 67939465104 + 4465981584 = 260652^2 + 66828^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 11422656 + ... + 11428992.

Almost surely, 2^72405446688 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 72405446688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104283613980).

72405446688 is an abundant number, since it is smaller than the sum of its proper divisors (136161781272).

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

72405446688 is a wasteful number, since it uses less digits than its factorization.

72405446688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6859 (or 6848 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 72405446688 in words is "seventy-two billion, four hundred five million, four hundred forty-six thousand, six hundred eighty-eight".