72080445360 has 240 divisors, whose sum is σ = 280697534208. Its totient is φ = 14977712640.

The previous prime is 72080445299. The next prime is 72080445377. The reversal of 72080445360 is 6354408027.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25987 + ... + 380573.

Almost surely, 2^72080445360 is an apocalyptic number.

72080445360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72080445360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140348767104).

72080445360 is an abundant number, since it is smaller than the sum of its proper divisors (208617088848).

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

72080445360 is a wasteful number, since it uses less digits than its factorization.

72080445360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354632 (or 354615 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 72080445360 in words is "seventy-two billion, eighty million, four hundred forty-five thousand, three hundred sixty".