72188734464 has 880 divisors, whose sum is σ = 273922007040. Its totient is φ = 18393661440.

The previous prime is 72188734459. The next prime is 72188734477. The reversal of 72188734464 is 46443788127.

72188734464 is a `hidden beast` number, since 7 + 218 + 87 + 344 + 6 + 4 = 666.

It is a super-2 number, since 2×72188734464² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 72188734464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 568415169 + ... + 568415295.

It is an arithmetic number, because the mean of its divisors is an integer number (311275008).

Almost surely, 2^72188734464 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 72188734464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136961003520).

72188734464 is an abundant number, since it is smaller than the sum of its proper divisors (201733272576).

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

72188734464 is a wasteful number, since it uses less digits than its factorization.

72188734464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 239 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 72188734464 in words is "seventy-two billion, one hundred eighty-eight million, seven hundred thirty-four thousand, four hundred sixty-four".