72008488167 has 96 divisors (see below), whose sum is σ = 126074880000. Its totient is φ = 36112708800.

The previous prime is 72008488163. The next prime is 72008488183. The reversal of 72008488167 is 76188480027.

It is not a de Polignac number, because 72008488167 - 2² = 72008488163 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72008488163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24009334 + ... + 24012332.

It is an arithmetic number, because the mean of its divisors is an integer number (1313280000).

Almost surely, 2^72008488167 is an apocalyptic number.

72008488167 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72008488167 is a deficient number, since it is larger than the sum of its proper divisors (54066391833).

72008488167 is a wasteful number, since it uses less digits than its factorization.

72008488167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3537 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 51.

The spelling of 72008488167 in words is "seventy-two billion, eight million, four hundred eighty-eight thousand, one hundred sixty-seven".