72831409 has 16 divisors (see below), whose sum is σ = 87118848. Its totient is φ = 59531472.

The previous prime is 72831401. The next prime is 72831419. The reversal of 72831409 is 90413827.

It is not a de Polignac number, because 72831409 - 2³ = 72831401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72831401) 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 15 ways as a sum of consecutive naturals, for example, 87654 + ... + 88480.

It is an arithmetic number, because the mean of its divisors is an integer number (5444928).

Almost surely, 2^72831409 is an apocalyptic number.

It is an amenable number.

72831409 is a deficient number, since it is larger than the sum of its proper divisors (14287439).

72831409 is a wasteful number, since it uses less digits than its factorization.

72831409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404.

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 72831409 is about 8534.1320003853. The cubic root of 72831409 is about 417.6119369499.

The spelling of 72831409 in words is "seventy-two million, eight hundred thirty-one thousand, four hundred nine".