72687654288 has 50 divisors (see below), whose sum is σ = 210379163654. Its totient is φ = 24229217664.

The previous prime is 72687654287. The next prime is 72687654301. The reversal of 72687654288 is 88245678627.

72687654288 is a `hidden beast` number, since 7 + 2 + 6 + 8 + 7 + 6 + 542 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36721290384 + 35966363904 = 191628^2 + 189648^2 .

It is not an unprimeable number, because it can be changed into a prime (72687654287) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 28041781 + ... + 28044372.

Almost surely, 2^72687654288 is an apocalyptic number.

It is an amenable number.

72687654288 is an abundant number, since it is smaller than the sum of its proper divisors (137691509366).

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

72687654288 is a wasteful number, since it uses less digits than its factorization.

72687654288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56086173 (or 56086158 counting only the distinct ones).

The product of its digits is 72253440, while the sum is 63.

The spelling of 72687654288 in words is "seventy-two billion, six hundred eighty-seven million, six hundred fifty-four thousand, two hundred eighty-eight".