72164741624067 has 4 divisors (see below), whose sum is σ = 96219655498760. Its totient is φ = 48109827749376.

The previous prime is 72164741623939. The next prime is 72164741624077. The reversal of 72164741624067 is 76042614746127.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 72164741624067 - 2⁷ = 72164741623939 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72164741623998 and 72164741624016.

It is not an unprimeable number, because it can be changed into a prime (72164741624077) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 12027456937342 + ... + 12027456937347.

It is an arithmetic number, because the mean of its divisors is an integer number (24054913874690).

Almost surely, 2^{72164741624067} is an apocalyptic number.

72164741624067 is a deficient number, since it is larger than the sum of its proper divisors (24054913874693).

72164741624067 is a wasteful number, since it uses less digits than its factorization.

72164741624067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24054913874692.

The product of its (nonzero) digits is 18966528, while the sum is 57.

The spelling of 72164741624067 in words is "seventy-two trillion, one hundred sixty-four billion, seven hundred forty-one million, six hundred twenty-four thousand, sixty-seven".