72250973167 has 8 divisors (see below), whose sum is σ = 72687877776. Its totient is φ = 71815383552.

The previous prime is 72250973149. The next prime is 72250973189. The reversal of 72250973167 is 76137905227.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72250973167 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72250973167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72250973467) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 218418 + ... + 438415.

It is an arithmetic number, because the mean of its divisors is an integer number (9085984722).

Almost surely, 2^72250973167 is an apocalyptic number.

72250973167 is a deficient number, since it is larger than the sum of its proper divisors (436904609).

72250973167 is a wasteful number, since it uses less digits than its factorization.

72250973167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657497.

The product of its (nonzero) digits is 1111320, while the sum is 49.

The spelling of 72250973167 in words is "seventy-two billion, two hundred fifty million, nine hundred seventy-three thousand, one hundred sixty-seven".