72264178565 has 16 divisors (see below), whose sum is σ = 88918634736. Its totient is φ = 56360371200.

The previous prime is 72264178541. The next prime is 72264178589. The reversal of 72264178565 is 56587146227.

It is an interprime number because it is at equal distance from previous prime (72264178541) and next prime (72264178589).

It can be written as a sum of positive squares in 8 ways, for example, as 24761540164 + 47502638401 = 157358^2 + 217951^2 .

It is not a de Polignac number, because 72264178565 - 2²⁸ = 71995743109 is a prime.

It is a super-2 number, since 2×72264178565² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1013906 + ... + 1082835.

It is an arithmetic number, because the mean of its divisors is an integer number (5557414671).

Almost surely, 2^72264178565 is an apocalyptic number.

It is an amenable number.

72264178565 is a deficient number, since it is larger than the sum of its proper divisors (16654456171).

72264178565 is a wasteful number, since it uses less digits than its factorization.

72264178565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096920.

The product of its digits is 5644800, while the sum is 53.

The spelling of 72264178565 in words is "seventy-two billion, two hundred sixty-four million, one hundred seventy-eight thousand, five hundred sixty-five".