73937767225 has 81 divisors (see below), whose sum is σ = 113542558983. Its totient is φ = 47613404160.

The previous prime is 73937767177. The next prime is 73937767261. The reversal of 73937767225 is 52276773937.

The square root of 73937767225 is 271915.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3613091881 + 70324675344 = 60109^2 + 265188^2 .

It is not a de Polignac number, because 73937767225 - 2¹¹ = 73937765177 is a prime.

Its product of digits (23337720) is a multiple of the sum of its prime divisors (486).

It is a self number, because there is not a number n which added to its sum of digits gives 73937767225.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 161789197 + ... + 161789653.

Almost surely, 2^73937767225 is an apocalyptic number.

73937767225 is the 271915-th square number.

73937767225 is the 135958-th centered octagonal number.

It is an amenable number.

73937767225 is a deficient number, since it is larger than the sum of its proper divisors (39604791758).

73937767225 is an equidigital number, since it uses as much as digits as its factorization.

73937767225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 486 counting only the distinct ones).

The product of its digits is 23337720, while the sum is 58.

The spelling of 73937767225 in words is "seventy-three billion, nine hundred thirty-seven million, seven hundred sixty-seven thousand, two hundred twenty-five".