73521450036225 has 81 divisors (see below), whose sum is σ = 133893535744137. Its totient is φ = 38564513784000.

The previous prime is 73521450036187. The next prime is 73521450036239. The reversal of 73521450036225 is 52263005412537.

The square root of 73521450036225 is 8574465.

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

73521450036225 is a `hidden beast` number, since 7 + 3 + 5 + 2 + 14 + 5 + 0 + 0 + 3 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33865311610881 + 39656138425344 = 5819391^2 + 6297312^2 .

It is not a de Polignac number, because 73521450036225 - 2²¹ = 73521447939073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7845630790 + ... + 7845640160.

Almost surely, 2^{73521450036225} is an apocalyptic number.

73521450036225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

73521450036225 is the 8574465-th square number.

73521450036225 is the 4287233-rd centered octagonal number.

It is an amenable number.

73521450036225 is a deficient number, since it is larger than the sum of its proper divisors (60372085707912).

73521450036225 is an frugal number, since it uses more digits than its factorization.

73521450036225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18880 (or 9440 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 73521450036225 in words is "seventy-three trillion, five hundred twenty-one billion, four hundred fifty million, thirty-six thousand, two hundred twenty-five".