72168065 has 8 divisors (see below), whose sum is σ = 86708328. Its totient is φ = 57663360.

The previous prime is 72168049. The next prime is 72168071. The reversal of 72168065 is 56086127.

It can be written as a sum of positive squares in 4 ways, for example, as 1893376 + 70274689 = 1376^2 + 8383^2 .

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

It is not a de Polignac number, because 72168065 - 2⁴ = 72168049 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4196 + ... + 12725.

It is an arithmetic number, because the mean of its divisors is an integer number (10838541).

Almost surely, 2^72168065 is an apocalyptic number.

It is an amenable number.

72168065 is a deficient number, since it is larger than the sum of its proper divisors (14540263).

72168065 is a wasteful number, since it uses less digits than its factorization.

72168065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17779.

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 72168065 is about 8495.1789268973. The cubic root of 72168065 is about 416.3402068622.

It can be divided in two parts, 721 and 68065, that added together give a palindrome (68786).

The spelling of 72168065 in words is "seventy-two million, one hundred sixty-eight thousand, sixty-five".