72583744 has 28 divisors (see below), whose sum is σ = 152508204. Its totient is φ = 34156544.

The previous prime is 72583733. The next prime is 72583759. The reversal of 72583744 is 44738527.

It can be written as a sum of positive squares in 2 ways, for example, as 58982400 + 13601344 = 7680^2 + 3688^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72583697 and 72583706.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32269 + ... + 34444.

Almost surely, 2^72583744 is an apocalyptic number.

It is an amenable number.

72583744 is an abundant number, since it is smaller than the sum of its proper divisors (79924460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72583744 is a wasteful number, since it uses less digits than its factorization.

72583744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66742 (or 66732 counting only the distinct ones).

The product of its digits is 188160, while the sum is 40.

The square root of 72583744 is about 8519.6093807169. The cubic root of 72583744 is about 417.1380328102.

The spelling of 72583744 in words is "seventy-two million, five hundred eighty-three thousand, seven hundred forty-four".