72827565 has 32 divisors (see below), whose sum is σ = 120030336. Its totient is φ = 37689600.

The previous prime is 72827537. The next prime is 72827567. The reversal of 72827565 is 56572827.

It is not a de Polignac number, because 72827565 - 2¹¹ = 72825517 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 (72827567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79842 + ... + 80748.

It is an arithmetic number, because the mean of its divisors is an integer number (3750948).

Almost surely, 2^72827565 is an apocalyptic number.

It is an amenable number.

72827565 is a deficient number, since it is larger than the sum of its proper divisors (47202771).

72827565 is a wasteful number, since it uses less digits than its factorization.

72827565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069.

The product of its digits is 235200, while the sum is 42.

The square root of 72827565 is about 8533.9067841171. The cubic root of 72827565 is about 417.6045897145.

The spelling of 72827565 in words is "seventy-two million, eight hundred twenty-seven thousand, five hundred sixty-five".