71172 has 24 divisors (see below), whose sum is σ = 184800. Its totient is φ = 23688.

The previous prime is 71171. The next prime is 71191. The reversal of 71172 is 27117.

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

It is not an unprimeable number, because it can be changed into a prime (71171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222 + ... + 437.

It is an arithmetic number, because the mean of its divisors is an integer number (7700).

2⁷¹¹⁷² is an apocalyptic number.

It is an amenable number.

71172 is an abundant number, since it is smaller than the sum of its proper divisors (113628).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92400).

71172 is a wasteful number, since it uses less digits than its factorization.

71172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 664 counting only the distinct ones).

The product of its digits is 98, while the sum is 18.

The square root of 71172 is about 266.7808089050. The cubic root of 71172 is about 41.4415881186.

Adding to 71172 its reverse (27117), we get a palindrome (98289).

It can be divided in two parts, 71 and 172, that added together give a 5-th power (243 = 3⁵).

The spelling of 71172 in words is "seventy-one thousand, one hundred seventy-two", and thus it is an iban number.