73128133 has 8 divisors (see below), whose sum is σ = 80674776. Its totient is φ = 65856000.

The previous prime is 73128113. The next prime is 73128137. The reversal of 73128133 is 33182137.

It can be written as a sum of positive squares in 4 ways, for example, as 8196769 + 64931364 = 2863^2 + 8058^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 73128133 - 2¹⁷ = 72997061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73128137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68068 + ... + 69133.

It is an arithmetic number, because the mean of its divisors is an integer number (10084347).

Almost surely, 2^73128133 is an apocalyptic number.

It is an amenable number.

73128133 is a deficient number, since it is larger than the sum of its proper divisors (7546643).

73128133 is a wasteful number, since it uses less digits than its factorization.

73128133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137255.

The product of its digits is 3024, while the sum is 28.

The square root of 73128133 is about 8551.4988744664. The cubic root of 73128133 is about 418.1783024036.

The spelling of 73128133 in words is "seventy-three million, one hundred twenty-eight thousand, one hundred thirty-three".