73171125 has 48 divisors (see below), whose sum is σ = 132980016. Its totient is φ = 38707200.

The previous prime is 73171121. The next prime is 73171139. The reversal of 73171125 is 52117137.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 42068196 + 31102929 = 6486^2 + 5577^2 .

It is not a de Polignac number, because 73171125 - 2² = 73171121 is a prime.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73171121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216957 + ... + 217293.

It is an arithmetic number, because the mean of its divisors is an integer number (2770417).

Almost surely, 2^73171125 is an apocalyptic number.

73171125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

73171125 is a deficient number, since it is larger than the sum of its proper divisors (59808891).

73171125 is a wasteful number, since it uses less digits than its factorization.

73171125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 538 counting only the distinct ones).

The product of its digits is 1470, while the sum is 27.

The square root of 73171125 is about 8554.0122164982. The cubic root of 73171125 is about 418.2602353015.

The spelling of 73171125 in words is "seventy-three million, one hundred seventy-one thousand, one hundred twenty-five".