72367456144 has 45 divisors (see below), whose sum is σ = 141739819347. Its totient is φ = 35793660672.

The previous prime is 72367456129. The next prime is 72367456193. The reversal of 72367456144 is 44165476327.

The square root of 72367456144 is 269012.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11599290000 + 60768166144 = 107700^2 + 246512^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 117288924 + ... + 117289540.

Almost surely, 2^72367456144 is an apocalyptic number.

72367456144 is the 269012-nd square number.

It is an amenable number.

72367456144 is a deficient number, since it is larger than the sum of its proper divisors (69372363203).

72367456144 is an frugal number, since it uses more digits than its factorization.

72367456144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 728 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 49.

Multiplying 72367456144 by its sum of digits (49), we get a square (3546005351056 = 1883084²).

The spelling of 72367456144 in words is "seventy-two billion, three hundred sixty-seven million, four hundred fifty-six thousand, one hundred forty-four".