72464589 has 24 divisors (see below), whose sum is σ = 109741632. Its totient is φ = 46025280.

The previous prime is 72464551. The next prime is 72464629. The reversal of 72464589 is 98546427.

It is a happy number.

72464589 is a `hidden beast` number, since 7 + 2 + 4 + 64 + 589 = 666.

It is not a de Polignac number, because 72464589 - 2¹⁶ = 72399053 is a prime.

It is a super-2 number, since 2×72464589² = 10502233317877842, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72464089) 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 23 ways as a sum of consecutive naturals, for example, 13584 + ... + 18150.

It is an arithmetic number, because the mean of its divisors is an integer number (4572568).

Almost surely, 2^72464589 is an apocalyptic number.

It is an amenable number.

72464589 is a deficient number, since it is larger than the sum of its proper divisors (37277043).

72464589 is a wasteful number, since it uses less digits than its factorization.

72464589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4657 (or 4654 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 72464589 is about 8512.6135234721. The cubic root of 72464589 is about 416.9096469356.

The spelling of 72464589 in words is "seventy-two million, four hundred sixty-four thousand, five hundred eighty-nine".