53172 has 36 divisors (see below), whose sum is σ = 154336. Its totient is φ = 15120.

The previous prime is 53171. The next prime is 53173. The reversal of 53172 is 27135.

It is an interprime number because it is at equal distance from previous prime (53171) and next prime (53173).

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

It is a super-3 number, since 3×53172³ = 450993458833344, which contains 333 as substring.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53171) 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, 147 + ... + 357.

2⁵³¹⁷² 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 53172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77168).

53172 is an abundant number, since it is smaller than the sum of its proper divisors (101164).

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

53172 is a wasteful number, since it uses less digits than its factorization.

53172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 223 counting only the distinct ones).

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

The square root of 53172 is about 230.5905462069. The cubic root of 53172 is about 37.6034476995.

It can be divided in two parts, 53 and 172, that added together give a square (225 = 15²).

The spelling of 53172 in words is "fifty-three thousand, one hundred seventy-two".