73416625 has 16 divisors (see below), whose sum is σ = 97016400. Its totient is φ = 55276800.

The previous prime is 73416617. The next prime is 73416631. The reversal of 73416625 is 52661437.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1912689 + 71503936 = 1383^2 + 8456^2 .

It is not a de Polignac number, because 73416625 - 2³ = 73416617 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15150 + ... + 19399.

It is an arithmetic number, because the mean of its divisors is an integer number (6063525).

Almost surely, 2^73416625 is an apocalyptic number.

It is an amenable number.

73416625 is a deficient number, since it is larger than the sum of its proper divisors (23599775).

73416625 is a wasteful number, since it uses less digits than its factorization.

73416625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34581 (or 34571 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The square root of 73416625 is about 8568.3501912562. The cubic root of 73416625 is about 418.7274882084.

The spelling of 73416625 in words is "seventy-three million, four hundred sixteen thousand, six hundred twenty-five".