72164583 has 12 divisors (see below), whose sum is σ = 104389480. Its totient is φ = 48039696.

The previous prime is 72164539. The next prime is 72164597. The reversal of 72164583 is 38546127.

72164583 is a `hidden beast` number, since 7 + 2 + 1 + 645 + 8 + 3 = 666.

It is not a de Polignac number, because 72164583 - 2¹³ = 72156391 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72164503) 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 11 ways as a sum of consecutive naturals, for example, 1128 + ... + 12066.

Almost surely, 2^72164583 is an apocalyptic number.

72164583 is a deficient number, since it is larger than the sum of its proper divisors (32224897).

72164583 is a wasteful number, since it uses less digits than its factorization.

72164583 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11678 (or 11675 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 72164583 is about 8494.9739846570. The cubic root of 72164583 is about 416.3335108260. Note that the first 3 decimals are identical.

The spelling of 72164583 in words is "seventy-two million, one hundred sixty-four thousand, five hundred eighty-three".