72585536 has 14 divisors (see below), whose sum is σ = 144037050. Its totient is φ = 36292736.

The previous prime is 72585533. The next prime is 72585551. The reversal of 72585536 is 63558527.

It can be written as a sum of positive squares in only one way, i.e., 71503936 + 1081600 = 8456^2 + 1040^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72585493 and 72585502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72585533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 567011 + ... + 567138.

Almost surely, 2^72585536 is an apocalyptic number.

It is an amenable number.

72585536 is a deficient number, since it is larger than the sum of its proper divisors (71451514).

72585536 is a wasteful number, since it uses less digits than its factorization.

72585536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134161 (or 1134151 counting only the distinct ones).

The product of its digits is 252000, while the sum is 41.

The square root of 72585536 is about 8519.7145492088. The cubic root of 72585536 is about 417.1414656505.

The spelling of 72585536 in words is "seventy-two million, five hundred eighty-five thousand, five hundred thirty-six".