72409086652 has 48 divisors (see below), whose sum is σ = 146241365760. Its totient is φ = 30727775232.

The previous prime is 72409086649. The next prime is 72409086733. The reversal of 72409086652 is 25668090427.

It is a junction number, because it is equal to n+sod(n) for n = 72409086596 and 72409086605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8243599 + ... + 8252377.

It is an arithmetic number, because the mean of its divisors is an integer number (3046695120).

Almost surely, 2^72409086652 is an apocalyptic number.

It is an amenable number.

72409086652 is an abundant number, since it is smaller than the sum of its proper divisors (73832279108).

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

72409086652 is a wasteful number, since it uses less digits than its factorization.

72409086652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11650 (or 11648 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 72409086652 in words is "seventy-two billion, four hundred nine million, eighty-six thousand, six hundred fifty-two".