71365133 has 16 divisors (see below), whose sum is σ = 88470144. Its totient is φ = 56163840.

The previous prime is 71365127. The next prime is 71365163. The reversal of 71365133 is 33156317.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 71365133 - 2¹⁰ = 71364109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 71365096 and 71365105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71365103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2435 + ... + 12192.

It is an arithmetic number, because the mean of its divisors is an integer number (5529384).

Almost surely, 2^71365133 is an apocalyptic number.

It is an amenable number.

71365133 is a deficient number, since it is larger than the sum of its proper divisors (17105011).

71365133 is a wasteful number, since it uses less digits than its factorization.

71365133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14692.

The product of its digits is 5670, while the sum is 29.

The square root of 71365133 is about 8447.7886455569. The cubic root of 71365133 is about 414.7903968879.

The spelling of 71365133 in words is "seventy-one million, three hundred sixty-five thousand, one hundred thirty-three".