72565218 has 48 divisors (see below), whose sum is σ = 180554400. Its totient is φ = 20831040.

The previous prime is 72565217. The next prime is 72565219. The reversal of 72565218 is 81256527.

It is a happy number.

72565218 is a `hidden beast` number, since 72 + 565 + 21 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (72565217) and next prime (72565219).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (72565217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5883 + ... + 13406.

It is an arithmetic number, because the mean of its divisors is an integer number (3761550).

Almost surely, 2^72565218 is an apocalyptic number.

72565218 is an abundant number, since it is smaller than the sum of its proper divisors (107989182).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72565218 is a wasteful number, since it uses less digits than its factorization.

72565218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19327 (or 19324 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 72565218 is about 8518.5220549107. The cubic root of 72565218 is about 417.1025402130.

The spelling of 72565218 in words is "seventy-two million, five hundred sixty-five thousand, two hundred eighteen".