72824409 has 12 divisors (see below), whose sum is σ = 120218176. Its totient is φ = 41613912.

The previous prime is 72824357. The next prime is 72824461. The reversal of 72824409 is 90442827.

It is an interprime number because it is at equal distance from previous prime (72824357) and next prime (72824461).

It is not a de Polignac number, because 72824409 - 2⁸ = 72824153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72824309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 577909 + ... + 578034.

Almost surely, 2^72824409 is an apocalyptic number.

It is an amenable number.

72824409 is a deficient number, since it is larger than the sum of its proper divisors (47393767).

72824409 is a wasteful number, since it uses less digits than its factorization.

72824409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155956 (or 1155953 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 72824409 is about 8533.7218726649. The cubic root of 72824409 is about 417.5985572956.

The spelling of 72824409 in words is "seventy-two million, eight hundred twenty-four thousand, four hundred nine".