250272 has 72 divisors (see below), whose sum is σ = 786240. Its totient is φ = 74880.

The previous prime is 250267. The next prime is 250279. The reversal of 250272 is 272052.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 (250279) by changing a digit.

250272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3129 + ... + 3207.

It is an arithmetic number, because the mean of its divisors is an integer number (10920).

2²⁵⁰²⁷² is an apocalyptic number.

250272 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 250272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393120).

250272 is an abundant number, since it is smaller than the sum of its proper divisors (535968).

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

250272 is a wasteful number, since it uses less digits than its factorization.

250272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 250272 is about 500.2719260562. The cubic root of 250272 is about 63.0188907824.

The spelling of 250272 in words is "two hundred fifty thousand, two hundred seventy-two".