72539289 has 27 divisors (see below), whose sum is σ = 111975487. Its totient is φ = 45242304.

The previous prime is 72539279. The next prime is 72539303. The reversal of 72539289 is 98293527.

The square root of 72539289 is 8517.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 56475225 + 16064064 = 7515^2 + 4008^2 .

It is not a de Polignac number, because 72539289 - 2⁷ = 72539161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72539239) 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 26 ways as a sum of consecutive naturals, for example, 434284 + ... + 434450.

Almost surely, 2^72539289 is an apocalyptic number.

72539289 is the 8517-th square number.

72539289 is the 4259-th centered octagonal number.

It is an amenable number.

72539289 is a deficient number, since it is larger than the sum of its proper divisors (39436198).

72539289 is a wasteful number, since it uses less digits than its factorization.

72539289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 187 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The cubic root of 72539289 is about 417.0528546085.

The spelling of 72539289 in words is "seventy-two million, five hundred thirty-nine thousand, two hundred eighty-nine".