72268493584 has 45 divisors (see below), whose sum is σ = 162897614901. Its totient is φ = 30968985600.

The previous prime is 72268493527. The next prime is 72268493587. The reversal of 72268493584 is 48539486227.

It is a happy number.

The square root of 72268493584 is 268828.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 55966311184 + 16302182400 = 236572^2 + 127680^2 .

It is not an unprimeable number, because it can be changed into a prime (72268493587) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7522384 + ... + 7531984.

Almost surely, 2^72268493584 is an apocalyptic number.

72268493584 is the 268828-th square number.

It is an amenable number.

72268493584 is an abundant number, since it is smaller than the sum of its proper divisors (90629121317).

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

72268493584 is an frugal number, since it uses more digits than its factorization.

72268493584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19224 (or 9610 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 58.

The spelling of 72268493584 in words is "seventy-two billion, two hundred sixty-eight million, four hundred ninety-three thousand, five hundred eighty-four".