72380369296 has 45 divisors (see below), whose sum is σ = 141828903489. Its totient is φ = 35783940288.

The previous prime is 72380369249. The next prime is 72380369297. The reversal of 72380369296 is 69296308327.

The square root of 72380369296 is 269036.

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., 16842848400 + 55537520896 = 129780^2 + 235664^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72380369297) 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, 110842506 + ... + 110843158.

Almost surely, 2^72380369296 is an apocalyptic number.

72380369296 is the 269036-th square number.

It is an amenable number.

72380369296 is a deficient number, since it is larger than the sum of its proper divisors (69448534193).

72380369296 is an frugal number, since it uses more digits than its factorization.

72380369296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 55.

The spelling of 72380369296 in words is "seventy-two billion, three hundred eighty million, three hundred sixty-nine thousand, two hundred ninety-six".