72706801328 has 120 divisors (see below), whose sum is σ = 171060301440. Its totient is φ = 29815188480.

The previous prime is 72706801327. The next prime is 72706801337. The reversal of 72706801328 is 82310860727.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72706801327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2146250 + ... + 2179862.

It is an arithmetic number, because the mean of its divisors is an integer number (1425502512).

Almost surely, 2^72706801328 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 72706801328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85530150720).

72706801328 is an abundant number, since it is smaller than the sum of its proper divisors (98353500112).

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

72706801328 is a wasteful number, since it uses less digits than its factorization.

72706801328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33755 (or 33742 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 44.

The spelling of 72706801328 in words is "seventy-two billion, seven hundred six million, eight hundred one thousand, three hundred twenty-eight".