72169056288 has 144 divisors (see below), whose sum is σ = 244747391616. Its totient is φ = 19723207680.

The previous prime is 72169056259. The next prime is 72169056293. The reversal of 72169056288 is 88265096127.

72169056288 is a `hidden beast` number, since 7 + 2 + 1 + 6 + 9 + 0 + 5 + 628 + 8 = 666.

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 731853 + ... + 824588.

It is an arithmetic number, because the mean of its divisors is an integer number (1699634664).

Almost surely, 2^72169056288 is an apocalyptic number.

It is an amenable number.

72169056288 is an abundant number, since it is smaller than the sum of its proper divisors (172578335328).

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

72169056288 is a wasteful number, since it uses less digits than its factorization.

72169056288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556487 (or 1556476 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 72169056288 in words is "seventy-two billion, one hundred sixty-nine million, fifty-six thousand, two hundred eighty-eight".