72164036520 has 192 divisors, whose sum is σ = 237230622720. Its totient is φ = 19023524352.

The previous prime is 72164036489. The next prime is 72164036569. The reversal of 72164036520 is 2563046127.

72164036520 is a `hidden beast` number, since 7 + 2 + 1 + 640 + 3 + 6 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 13393267 + ... + 13398653.

It is an arithmetic number, because the mean of its divisors is an integer number (1235576160).

Almost surely, 2^72164036520 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 72164036520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118615311360).

72164036520 is an abundant number, since it is smaller than the sum of its proper divisors (165066586200).

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

72164036520 is a wasteful number, since it uses less digits than its factorization.

72164036520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5824 (or 5817 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 72164036520 in words is "seventy-two billion, one hundred sixty-four million, thirty-six thousand, five hundred twenty".