72031044996 has 81 divisors (see below), whose sum is σ = 186798946789. Its totient is φ = 23403259200.

The previous prime is 72031044851. The next prime is 72031045039. The reversal of 72031044996 is 69944013027.

It is a happy number.

The square root of 72031044996 is 268386.

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., 3470859396 + 68560185600 = 58914^2 + 261840^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 66022411 + ... + 66023501.

Almost surely, 2^72031044996 is an apocalyptic number.

72031044996 is the 268386-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72031044996

72031044996 is an abundant number, since it is smaller than the sum of its proper divisors (114767901793).

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

72031044996 is a wasteful number, since it uses less digits than its factorization.

72031044996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 72031044996 in words is "seventy-two billion, thirty-one million, forty-four thousand, nine hundred ninety-six".