72573584 has 10 divisors (see below), whose sum is σ = 140611350. Its totient is φ = 36286784.

The previous prime is 72573583. The next prime is 72573619. The reversal of 72573584 is 48537527.

It can be written as a sum of positive squares in only one way, i.e., 58675600 + 13897984 = 7660^2 + 3728^2 .

It is not an unprimeable number, because it can be changed into a prime (72573583) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2267909 + ... + 2267940.

It is an arithmetic number, because the mean of its divisors is an integer number (14061135).

Almost surely, 2^72573584 is an apocalyptic number.

It is an amenable number.

72573584 is a deficient number, since it is larger than the sum of its proper divisors (68037766).

72573584 is a wasteful number, since it uses less digits than its factorization.

72573584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4535857 (or 4535851 counting only the distinct ones).

The product of its digits is 235200, while the sum is 41.

The square root of 72573584 is about 8519.0130883806. The cubic root of 72573584 is about 417.1185687634.

The spelling of 72573584 in words is "seventy-two million, five hundred seventy-three thousand, five hundred eighty-four".