71527 has 2 divisors, whose sum is σ = 71528. Its totient is φ = 71526.

The previous prime is 71503. The next prime is 71537. The reversal of 71527 is 72517.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 71527 - 2⁷ = 71399 is a prime.

It is a super-2 number, since 2×71527² = 10232223458, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71498 and 71507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (71537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35763 + 35764.

It is an arithmetic number, because the mean of its divisors is an integer number (35764).

2⁷¹⁵²⁷ is an apocalyptic number.

71527 is a deficient number, since it is larger than the sum of its proper divisors (1).

71527 is an equidigital number, since it uses as much as digits as its factorization.

71527 is an evil number, because the sum of its binary digits is even.

The product of its digits is 490, while the sum is 22.

The square root of 71527 is about 267.4453215145. The cubic root of 71527 is about 41.5103762703.

Subtracting 71527 from its reverse (72517), we obtain a triangular number (990 = T₄₄).

The spelling of 71527 in words is "seventy-one thousand, five hundred twenty-seven".