260172 has 60 divisors (see below), whose sum is σ = 752136. Its totient is φ = 77760.

The previous prime is 260171. The next prime is 260179. The reversal of 260172 is 271062.

It is a happy number.

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 (260171) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3528 + ... + 3600.

2²⁶⁰¹⁷² is an apocalyptic number.

260172 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376068).

260172 is an abundant number, since it is smaller than the sum of its proper divisors (491964).

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

260172 is a wasteful number, since it uses less digits than its factorization.

260172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 89 counting only the distinct ones).

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

The square root of 260172 is about 510.0705833510. The cubic root of 260172 is about 63.8391141264.

The spelling of 260172 in words is "two hundred sixty thousand, one hundred seventy-two".