72106126680 has 128 divisors (see below), whose sum is σ = 250607808000. Its totient is φ = 16255613952.

The previous prime is 72106126667. The next prime is 72106126717. The reversal of 72106126680 is 8662160127.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526630 + ... + 649269.

It is an arithmetic number, because the mean of its divisors is an integer number (1957873500).

Almost surely, 2^72106126680 is an apocalyptic number.

72106126680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72106126680 is an abundant number, since it is smaller than the sum of its proper divisors (178501681320).

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

72106126680 is a wasteful number, since it uses less digits than its factorization.

72106126680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175993 (or 1175989 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 72106126680 in words is "seventy-two billion, one hundred six million, one hundred twenty-six thousand, six hundred eighty".