72680470967 has 16 divisors (see below), whose sum is σ = 78933449280. Its totient is φ = 66524067072.

The previous prime is 72680470963. The next prime is 72680470969. The reversal of 72680470967 is 76907408627.

It is a cyclic number.

It is not a de Polignac number, because 72680470967 - 2² = 72680470963 is a prime.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72680470963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 847013 + ... + 928865.

It is an arithmetic number, because the mean of its divisors is an integer number (4933340580).

Almost surely, 2^72680470967 is an apocalyptic number.

72680470967 is a deficient number, since it is larger than the sum of its proper divisors (6252978313).

72680470967 is a wasteful number, since it uses less digits than its factorization.

72680470967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82442.

The product of its (nonzero) digits is 7112448, while the sum is 56.

The spelling of 72680470967 in words is "seventy-two billion, six hundred eighty million, four hundred seventy thousand, nine hundred sixty-seven".