72164845441 has 8 divisors (see below), whose sum is σ = 78181354944. Its totient is φ = 66214817040.

The previous prime is 72164845369. The next prime is 72164845447. The reversal of 72164845441 is 14454846127.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72164845441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72164845391 and 72164845400.

It is not an unprimeable number, because it can be changed into a prime (72164845447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16618015 + ... + 16622356.

It is an arithmetic number, because the mean of its divisors is an integer number (9772669368).

Almost surely, 2^72164845441 is an apocalyptic number.

It is an amenable number.

72164845441 is a deficient number, since it is larger than the sum of its proper divisors (6016509503).

72164845441 is a wasteful number, since it uses less digits than its factorization.

72164845441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33240551.

The product of its digits is 860160, while the sum is 46.

The spelling of 72164845441 in words is "seventy-two billion, one hundred sixty-four million, eight hundred forty-five thousand, four hundred forty-one".