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72133 = 531361
BaseRepresentation
bin10001100111000101
310122221121
4101213011
54302013
61313541
7420205
oct214705
9118847
1072133
114a216
12358b1
1326aa9
141c405
151658d
hex119c5

72133 has 4 divisors (see below), whose sum is σ = 73548. Its totient is φ = 70720.

The previous prime is 72109. The next prime is 72139. The reversal of 72133 is 33127.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 33127 = 157211.

It can be written as a sum of positive squares in 2 ways, for example, as 31329 + 40804 = 177^2 + 202^2 .

It is a cyclic number.

It is not a de Polignac number, because 72133 - 25 = 72101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72139) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 628 + ... + 733.

It is an arithmetic number, because the mean of its divisors is an integer number (18387).

272133 is an apocalyptic number.

It is an amenable number.

72133 is a deficient number, since it is larger than the sum of its proper divisors (1415).

72133 is a wasteful number, since it uses less digits than its factorization.

72133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414.

The product of its digits is 126, while the sum is 16.

The square root of 72133 is about 268.5758738234. The cubic root of 72133 is about 41.6272765516.

The spelling of 72133 in words is "seventy-two thousand, one hundred thirty-three".

Divisors: 1 53 1361 72133