251872 has 24 divisors (see below), whose sum is σ = 526176. Its totient is φ = 118272.

The previous prime is 251861. The next prime is 251879. The reversal of 251872 is 278152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251879) by changing a digit.

251872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 313 + ... + 775.

It is an arithmetic number, because the mean of its divisors is an integer number (21924).

2²⁵¹⁸⁷² 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 251872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263088).

251872 is an abundant number, since it is smaller than the sum of its proper divisors (274304).

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

251872 is a wasteful number, since it uses less digits than its factorization.

251872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 482 counting only the distinct ones).

The product of its digits is 1120, while the sum is 25.

The square root of 251872 is about 501.8685086753. The cubic root of 251872 is about 63.1528997999.

The spelling of 251872 in words is "two hundred fifty-one thousand, eight hundred seventy-two".