73975840225 has 81 divisors (see below), whose sum is σ = 112894108857. Its totient is φ = 47938988160.

The previous prime is 73975840199. The next prime is 73975840229. The reversal of 73975840225 is 52204857937.

It is a happy number.

The square root of 73975840225 is 271985.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8495124561 + 65480715664 = 92169^2 + 255892^2 .

It is not a de Polignac number, because 73975840225 - 2⁵ = 73975840193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73975840229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 180869821 + ... + 180870229.

Almost surely, 2^73975840225 is an apocalyptic number.

73975840225 is the 271985-th square number.

73975840225 is the 135993-rd centered octagonal number.

It is an amenable number.

73975840225 is a deficient number, since it is larger than the sum of its proper divisors (38918268632).

73975840225 is an equidigital number, since it uses as much as digits as its factorization.

73975840225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 52.

The spelling of 73975840225 in words is "seventy-three billion, nine hundred seventy-five million, eight hundred forty thousand, two hundred twenty-five".