72592409 has 4 divisors (see below), whose sum is σ = 74554404. Its totient is φ = 70630416.

The previous prime is 72592367. The next prime is 72592417. The reversal of 72592409 is 90429527.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 90429527 = 251 ⋅360277.

It can be written as a sum of positive squares in 2 ways, for example, as 47059600 + 25532809 = 6860^2 + 5053^2 .

It is a cyclic number.

It is not a de Polignac number, because 72592409 - 2¹⁶ = 72526873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72592469) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 980942 + ... + 981015.

It is an arithmetic number, because the mean of its divisors is an integer number (18638601).

Almost surely, 2^72592409 is an apocalyptic number.

It is an amenable number.

72592409 is a deficient number, since it is larger than the sum of its proper divisors (1961995).

72592409 is a wasteful number, since it uses less digits than its factorization.

72592409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961994.

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 72592409 is about 8520.1178982453. The cubic root of 72592409 is about 417.1546313718.

The spelling of 72592409 in words is "seventy-two million, five hundred ninety-two thousand, four hundred nine".