62172 has 36 divisors (see below), whose sum is σ = 172536. Its totient is φ = 18720.

The previous prime is 62171. The next prime is 62189. The reversal of 62172 is 27126.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a zygodrome in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 62172.

It is not an unprimeable number, because it can be changed into a prime (62171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 318 + ... + 474.

2⁶²¹⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86268).

62172 is an abundant number, since it is smaller than the sum of its proper divisors (110364).

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

62172 is a wasteful number, since it uses less digits than its factorization.

62172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 173 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 62172 is about 249.3431370622. The cubic root of 62172 is about 39.6154821617.

Adding to 62172 its reverse (27126), we get a palindrome (89298).

The spelling of 62172 in words is "sixty-two thousand, one hundred seventy-two".