72646404336 has 80 divisors (see below), whose sum is σ = 227478654720. Its totient is φ = 22014060480.

The previous prime is 72646404329. The next prime is 72646404349. The reversal of 72646404336 is 63340464627.

It is a junction number, because it is equal to n+sod(n) for n = 72646404291 and 72646404300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7639020 + ... + 7648523.

It is an arithmetic number, because the mean of its divisors is an integer number (2843483184).

Almost surely, 2^72646404336 is an apocalyptic number.

It is an amenable number.

72646404336 is an abundant number, since it is smaller than the sum of its proper divisors (154832250384).

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

72646404336 is a wasteful number, since it uses less digits than its factorization.

72646404336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15287571 (or 15287559 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 72646404336 in words is "seventy-two billion, six hundred forty-six million, four hundred four thousand, three hundred thirty-six".