72641289 has 32 divisors (see below), whose sum is σ = 117780480. Its totient is φ = 38875392.

The previous prime is 72641281. The next prime is 72641341. The reversal of 72641289 is 98214627.

It is not a de Polignac number, because 72641289 - 2³ = 72641281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72641281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100672 + ... + 101390.

It is an arithmetic number, because the mean of its divisors is an integer number (3680640).

Almost surely, 2^72641289 is an apocalyptic number.

It is an amenable number.

72641289 is a deficient number, since it is larger than the sum of its proper divisors (45139191).

72641289 is a wasteful number, since it uses less digits than its factorization.

72641289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029.

The product of its digits is 48384, while the sum is 39.

The square root of 72641289 is about 8522.9859204389. The cubic root of 72641289 is about 417.2482405325.

The spelling of 72641289 in words is "seventy-two million, six hundred forty-one thousand, two hundred eighty-nine".