71753 has 6 divisors (see below), whose sum is σ = 79002. Its totient is φ = 65120.

The previous prime is 71741. The next prime is 71761. The reversal of 71753 is 35717.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 64009 + 7744 = 253^2 + 88^2 .

It is not a de Polignac number, because 71753 - 2¹⁰ = 70729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71713) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 176 + ... + 417.

It is an arithmetic number, because the mean of its divisors is an integer number (13167).

2⁷¹⁷⁵³ is an apocalyptic number.

It is an amenable number.

71753 is a deficient number, since it is larger than the sum of its proper divisors (7249).

71753 is a wasteful number, since it uses less digits than its factorization.

71753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 604 counting only the distinct ones).

The product of its digits is 735, while the sum is 23.

The square root of 71753 is about 267.8675045615. The cubic root of 71753 is about 41.5540496699.

The spelling of 71753 in words is "seventy-one thousand, seven hundred fifty-three".