72464722208 has 54 divisors (see below), whose sum is σ = 149209549209. Its totient is φ = 34640290432.

The previous prime is 72464722201. The next prime is 72464722217. The reversal of 72464722208 is 80222746427.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 62574021904 + 9890700304 = 250148^2 + 99452^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=190348.

It is a super-2 number, since 2×72464722208² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72464722201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35022998 + ... + 35025066.

Almost surely, 2^72464722208 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 72464722208

72464722208 is an abundant number, since it is smaller than the sum of its proper divisors (76744827001).

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

72464722208 is an frugal number, since it uses more digits than its factorization.

72464722208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 44.

The spelling of 72464722208 in words is "seventy-two billion, four hundred sixty-four million, seven hundred twenty-two thousand, two hundred eight".