72052569 has 6 divisors (see below), whose sum is σ = 104075946. Its totient is φ = 48035040.

The previous prime is 72052567. The next prime is 72052571. The reversal of 72052569 is 96525027.

72052569 is a `hidden beast` number, since 72 + 0 + 525 + 69 = 666.

It is an interprime number because it is at equal distance from previous prime (72052567) and next prime (72052571).

It can be written as a sum of positive squares in only one way, i.e., 51667344 + 20385225 = 7188^2 + 4515^2 .

It is not a de Polignac number, because 72052569 - 2¹ = 72052567 is a prime.

It is a super-2 number, since 2×72052569² = 10383145398999522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72052567) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4002912 + ... + 4002929.

It is an arithmetic number, because the mean of its divisors is an integer number (17345991).

Almost surely, 2^72052569 is an apocalyptic number.

It is an amenable number.

72052569 is a deficient number, since it is larger than the sum of its proper divisors (32023377).

72052569 is a wasteful number, since it uses less digits than its factorization.

72052569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8005847 (or 8005844 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 72052569 is about 8488.3784670572. The cubic root of 72052569 is about 416.1179880592.

The spelling of 72052569 in words is "seventy-two million, fifty-two thousand, five hundred sixty-nine".