73125993 has 32 divisors (see below), whose sum is σ = 111255552. Its totient is φ = 42451200.

The previous prime is 73125989. The next prime is 73126013. The reversal of 73125993 is 39952137.

It is not a de Polignac number, because 73125993 - 2² = 73125989 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73125973) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 35358 + ... + 37368.

It is an arithmetic number, because the mean of its divisors is an integer number (3476736).

Almost surely, 2^73125993 is an apocalyptic number.

It is an amenable number.

73125993 is a deficient number, since it is larger than the sum of its proper divisors (38129559).

73125993 is a wasteful number, since it uses less digits than its factorization.

73125993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085.

The product of its digits is 51030, while the sum is 39.

The square root of 73125993 is about 8551.3737492873. The cubic root of 73125993 is about 418.1742232152.

The spelling of 73125993 in words is "seventy-three million, one hundred twenty-five thousand, nine hundred ninety-three".