72110565 has 24 divisors (see below), whose sum is σ = 125207160. Its totient is φ = 38392704.

The previous prime is 72110537. The next prime is 72110569. The reversal of 72110565 is 56501127.

It can be written as a sum of positive squares in 4 ways, for example, as 13771521 + 58339044 = 3711^2 + 7638^2 .

It is not a de Polignac number, because 72110565 - 2⁹ = 72110053 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72110569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36339 + ... + 38271.

It is an arithmetic number, because the mean of its divisors is an integer number (5216965).

Almost surely, 2^72110565 is an apocalyptic number.

It is an amenable number.

72110565 is a deficient number, since it is larger than the sum of its proper divisors (53096595).

72110565 is a wasteful number, since it uses less digits than its factorization.

72110565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 72110565 is about 8491.7939800728. The cubic root of 72110565 is about 416.2296042816.

The spelling of 72110565 in words is "seventy-two million, one hundred ten thousand, five hundred sixty-five".