72468176085 has 24 divisors (see below), whose sum is σ = 125661176160. Its totient is φ = 38634410592.

The previous prime is 72468176071. The next prime is 72468176101. The reversal of 72468176085 is 58067186427.

72468176085 is a `hidden beast` number, since 7 + 2 + 468 + 176 + 0 + 8 + 5 = 666.

It is not a de Polignac number, because 72468176085 - 2⁶ = 72468176021 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202879 + ... + 431388.

It is an arithmetic number, because the mean of its divisors is an integer number (5235882340).

Almost surely, 2^72468176085 is an apocalyptic number.

It is an amenable number.

72468176085 is a deficient number, since it is larger than the sum of its proper divisors (53193000075).

72468176085 is a wasteful number, since it uses less digits than its factorization.

72468176085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636817 (or 636814 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 72468176085 in words is "seventy-two billion, four hundred sixty-eight million, one hundred seventy-six thousand, eighty-five".