72488023696 has 135 divisors (see below), whose sum is σ = 160642152489. Its totient is φ = 31662153600.

The previous prime is 72488023693. The next prime is 72488023697. The reversal of 72488023696 is 69632088427.

The square root of 72488023696 is 269236.

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., 38010961296 + 34477062400 = 194964^2 + 185680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72488023693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 343545031 + ... + 343545241.

Almost surely, 2^72488023696 is an apocalyptic number.

72488023696 is the 269236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72488023696

72488023696 is an abundant number, since it is smaller than the sum of its proper divisors (88154128793).

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

72488023696 is a wasteful number, since it uses less digits than its factorization.

72488023696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 55.

The spelling of 72488023696 in words is "seventy-two billion, four hundred eighty-eight million, twenty-three thousand, six hundred ninety-six".