72047432136 has 128 divisors (see below), whose sum is σ = 190229575680. Its totient is φ = 22715886336.

The previous prime is 72047432087. The next prime is 72047432161. The reversal of 72047432136 is 63123474027.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 72047432094 and 72047432103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3996535 + ... + 4014521.

It is an arithmetic number, because the mean of its divisors is an integer number (1486168560).

Almost surely, 2^72047432136 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 72047432136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95114787840).

72047432136 is an abundant number, since it is smaller than the sum of its proper divisors (118182143544).

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

72047432136 is a wasteful number, since it uses less digits than its factorization.

72047432136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18163 (or 18159 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The spelling of 72047432136 in words is "seventy-two billion, forty-seven million, four hundred thirty-two thousand, one hundred thirty-six".