71553 has 16 divisors (see below), whose sum is σ = 107136. Its totient is φ = 42240.

The previous prime is 71551. The next prime is 71563. The reversal of 71553 is 35517.

It is a happy number.

It is not a de Polignac number, because 71553 - 2¹ = 71551 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (71551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1143 + ... + 1203.

It is an arithmetic number, because the mean of its divisors is an integer number (6696).

2⁷¹⁵⁵³ is an apocalyptic number.

It is an amenable number.

71553 is a deficient number, since it is larger than the sum of its proper divisors (35583).

71553 is a wasteful number, since it uses less digits than its factorization.

71553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104.

The product of its digits is 525, while the sum is 21.

The square root of 71553 is about 267.4939251647. The cubic root of 71553 is about 41.5154053224.

The spelling of 71553 in words is "seventy-one thousand, five hundred fifty-three".