72605096520 has 192 divisors, whose sum is σ = 240893472960. Its totient is φ = 17492682240.

The previous prime is 72605096507. The next prime is 72605096539. The reversal of 72605096520 is 2569050627.

It is a super-2 number, since 2×72605096520² (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 47 ways as a sum of consecutive naturals, for example, 2351422 + ... + 2382098.

It is an arithmetic number, because the mean of its divisors is an integer number (1254653505).

Almost surely, 2^72605096520 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 72605096520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120446736480).

72605096520 is an abundant number, since it is smaller than the sum of its proper divisors (168288376440).

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

72605096520 is a wasteful number, since it uses less digits than its factorization.

72605096520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30876 (or 30861 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 72605096520 in words is "seventy-two billion, six hundred five million, ninety-six thousand, five hundred twenty".