72589672 has 8 divisors (see below), whose sum is σ = 136105650. Its totient is φ = 36294832.

The previous prime is 72589669. The next prime is 72589733. The reversal of 72589672 is 27698527.

It can be written as a sum of positive squares in only one way, i.e., 44009956 + 28579716 = 6634^2 + 5346^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 4536847 + ... + 4536862.

Almost surely, 2^72589672 is an apocalyptic number.

It is an amenable number.

72589672 is a deficient number, since it is larger than the sum of its proper divisors (63515978).

72589672 is a wasteful number, since it uses less digits than its factorization.

72589672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9073715 (or 9073711 counting only the distinct ones).

The product of its digits is 423360, while the sum is 46.

The square root of 72589672 is about 8519.9572768882. The cubic root of 72589672 is about 417.1493885528.

The spelling of 72589672 in words is "seventy-two million, five hundred eighty-nine thousand, six hundred seventy-two".