71253 has 32 divisors (see below), whose sum is σ = 134400. Its totient is φ = 36288.

The previous prime is 71249. The next prime is 71257. The reversal of 71253 is 35217.

71253 is a nontrivial binomial coefficient, being equal to C(378, 2).

It is an interprime number because it is at equal distance from previous prime (71249) and next prime (71257).

It is not a de Polignac number, because 71253 - 2² = 71249 is a prime.

It is a super-3 number, since 3×71253³ = 1085252307333831, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2443 + ... + 2471.

It is an arithmetic number, because the mean of its divisors is an integer number (4200).

2⁷¹²⁵³ is an apocalyptic number.

71253 is the 377-th triangular number and also the 189-th hexagonal number.

It is an amenable number.

71253 is a deficient number, since it is larger than the sum of its proper divisors (63147).

71253 is a wasteful number, since it uses less digits than its factorization.

71253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 52 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 71253 is about 266.9325757565. The cubic root of 71253 is about 41.4573035498.

It can be divided in two parts, 71 and 253, that added together give a square (324 = 18²).

The spelling of 71253 in words is "seventy-one thousand, two hundred fifty-three".