72652814160 has 40 divisors (see below), whose sum is σ = 225223724640. Its totient is φ = 19374083712.

The previous prime is 72652814077. The next prime is 72652814209. The reversal of 72652814160 is 6141825627.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151359790 + ... + 151360269.

It is an arithmetic number, because the mean of its divisors is an integer number (5630593116).

Almost surely, 2^72652814160 is an apocalyptic number.

It is an amenable number.

72652814160 is an abundant number, since it is smaller than the sum of its proper divisors (152570910480).

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

72652814160 is a wasteful number, since it uses less digits than its factorization.

72652814160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302720075 (or 302720069 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 72652814160 in words is "seventy-two billion, six hundred fifty-two million, eight hundred fourteen thousand, one hundred sixty".