72871280640 has 960 divisors, whose sum is σ = 292131437400. Its totient is φ = 17326669824.

The previous prime is 72871280569. The next prime is 72871280683. The reversal of 72871280640 is 4608217827.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×72871280640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3835330551 + ... + 3835330569.

Almost surely, 2^72871280640 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 72871280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146065718700).

72871280640 is an abundant number, since it is smaller than the sum of its proper divisors (219260156760).

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

72871280640 is an equidigital number, since it uses as much as digits as its factorization.

72871280640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 72871280640 in words is "seventy-two billion, eight hundred seventy-one million, two hundred eighty thousand, six hundred forty".