72922944006 has 32 divisors (see below), whose sum is σ = 176782896000. Its totient is φ = 22097861640.

The previous prime is 72922943999. The next prime is 72922944011. The reversal of 72922944006 is 60044922927.

It is a happy number.

72922944006 is a `hidden beast` number, since 72 + 92 + 2 + 94 + 400 + 6 = 666.

It is a super-2 number, since 2×72922944006² (a number of 23 digits) contains 22 as substring.

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, 61382356 + ... + 61383543.

It is an arithmetic number, because the mean of its divisors is an integer number (5524465500).

Almost surely, 2^72922944006 is an apocalyptic number.

72922944006 is an abundant number, since it is smaller than the sum of its proper divisors (103859951994).

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

72922944006 is a wasteful number, since it uses less digits than its factorization.

72922944006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122765921 (or 122765915 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 72922944006 in words is "seventy-two billion, nine hundred twenty-two million, nine hundred forty-four thousand, six".