72783946225 has 27 divisors (see below), whose sum is σ = 91543016523. Its totient is φ = 57405931440.

The previous prime is 72783946211. The next prime is 72783946229. The reversal of 72783946225 is 52264938727.

The square root of 72783946225 is 269785.

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., 26202220641 + 46581725584 = 161871^2 + 215828^2 .

It is not a de Polignac number, because 72783946225 - 2⁹ = 72783945713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72783946229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 106564734 + ... + 106565416.

Almost surely, 2^72783946225 is an apocalyptic number.

72783946225 is the 269785-th square number.

72783946225 is the 134893-rd centered octagonal number.

It is an amenable number.

72783946225 is a deficient number, since it is larger than the sum of its proper divisors (18759070298).

72783946225 is an frugal number, since it uses more digits than its factorization.

72783946225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 767 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 55.

The spelling of 72783946225 in words is "seventy-two billion, seven hundred eighty-three million, nine hundred forty-six thousand, two hundred twenty-five".