72265805329 has 3 divisors (see below), whose sum is σ = 72266074153. Its totient is φ = 72265536506.

The previous prime is 72265805317. The next prime is 72265805371. The reversal of 72265805329 is 92350856227.

It is a happy number.

The square root of 72265805329 is 268823.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 92350856227 = 7 ⋅13192979461.

It is not a de Polignac number, because 72265805329 - 2¹⁵ = 72265772561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72265805429) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 134412 + ... + 403234.

Almost surely, 2^72265805329 is an apocalyptic number.

72265805329 is the 268823-rd square number.

72265805329 is the 134412-nd centered octagonal number.

It is an amenable number.

72265805329 is a deficient number, since it is larger than the sum of its proper divisors (268824).

72265805329 is an frugal number, since it uses more digits than its factorization.

72265805329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537646 (or 268823 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 49.

Multiplying 72265805329 by its sum of digits (49), we get a square (3541024461121 = 1881761²).

The spelling of 72265805329 in words is "seventy-two billion, two hundred sixty-five million, eight hundred five thousand, three hundred twenty-nine".