72466976160 has 96 divisors (see below), whose sum is σ = 253634431680. Its totient is φ = 19324525824.

The previous prime is 72466976159. The next prime is 72466976171. The reversal of 72466976160 is 6167966427.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 72466976097 and 72466976106.

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 15 ways as a sum of consecutive naturals, for example, 8383062 + ... + 8391701.

It is an arithmetic number, because the mean of its divisors is an integer number (2642025330).

Almost surely, 2^72466976160 is an apocalyptic number.

It is an amenable number.

72466976160 is an abundant number, since it is smaller than the sum of its proper divisors (181167455520).

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

72466976160 is a wasteful number, since it uses less digits than its factorization.

72466976160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16774787 (or 16774773 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 72466976160 in words is "seventy-two billion, four hundred sixty-six million, nine hundred seventy-six thousand, one hundred sixty".