71352 has 24 divisors (see below), whose sum is σ = 193440. Its totient is φ = 23760.

The previous prime is 71347. The next prime is 71353. The reversal of 71352 is 25317.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×71352² = 10182215808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71353) 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, 424 + ... + 567.

It is an arithmetic number, because the mean of its divisors is an integer number (8060).

2⁷¹³⁵² is an apocalyptic number.

71352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

71352 is an abundant number, since it is smaller than the sum of its proper divisors (122088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71352 is a wasteful number, since it uses less digits than its factorization.

71352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 996 counting only the distinct ones).

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

The square root of 71352 is about 267.1179514746. The cubic root of 71352 is about 41.4764951332.

Adding to 71352 its reverse (25317), we get a palindrome (96669).

The spelling of 71352 in words is "seventy-one thousand, three hundred fifty-two".