72929044224 has 144 divisors (see below), whose sum is σ = 220253591040. Its totient is φ = 23792348160.

The previous prime is 72929044217. The next prime is 72929044303. The reversal of 72929044224 is 42244092927.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×72929044224² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72929044224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212619 + ... + 437109.

Almost surely, 2^72929044224 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 72929044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110126795520).

72929044224 is an abundant number, since it is smaller than the sum of its proper divisors (147324546816).

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

72929044224 is a wasteful number, since it uses less digits than its factorization.

72929044224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224563 (or 224543 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 72929044224 in words is "seventy-two billion, nine hundred twenty-nine million, forty-four thousand, two hundred twenty-four".