72842086320 has 160 divisors (see below), whose sum is σ = 241133137920. Its totient is φ = 18149698560.

The previous prime is 72842086309. The next prime is 72842086333. The reversal of 72842086320 is 2368024827.

It is a super-2 number, since 2×72842086320² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46957 + ... + 384563.

It is an arithmetic number, because the mean of its divisors is an integer number (1507082112).

Almost surely, 2^72842086320 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 72842086320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120566568960).

72842086320 is an abundant number, since it is smaller than the sum of its proper divisors (168291051600).

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

72842086320 is a wasteful number, since it uses less digits than its factorization.

72842086320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337683 (or 337677 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 72842086320 in words is "seventy-two billion, eight hundred forty-two million, eighty-six thousand, three hundred twenty".