72735393025 has 9 divisors (see below), whose sum is σ = 90193559491. Its totient is φ = 58187235640.

The previous prime is 72735393019. The next prime is 72735393037. The reversal of 72735393025 is 52039353727.

The square root of 72735393025 is 269695.

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., 26184741489 + 46550651536 = 161817^2 + 215756^2 .

It is a de Polignac number, because none of the positive numbers 2^k-72735393025 is a prime.

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, 1321506 + ... + 1375444.

Almost surely, 2^72735393025 is an apocalyptic number.

72735393025 is the 269695-th square number.

72735393025 is the 134848-th centered octagonal number.

It is an amenable number.

72735393025 is a deficient number, since it is larger than the sum of its proper divisors (17458166466).

72735393025 is an frugal number, since it uses more digits than its factorization.

72735393025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107888 (or 53944 counting only the distinct ones).

The product of its (nonzero) digits is 1190700, while the sum is 46.

The spelling of 72735393025 in words is "seventy-two billion, seven hundred thirty-five million, three hundred ninety-three thousand, twenty-five".