254072 has 32 divisors (see below), whose sum is σ = 588000. Its totient is φ = 100224.

The previous prime is 254071. The next prime is 254083. The reversal of 254072 is 270452.

254072 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 554 + ... + 902.

It is an arithmetic number, because the mean of its divisors is an integer number (18375).

2²⁵⁴⁰⁷² 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 254072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294000).

254072 is an abundant number, since it is smaller than the sum of its proper divisors (333928).

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

254072 is a wasteful number, since it uses less digits than its factorization.

254072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 254072 is about 504.0555524940. The cubic root of 254072 is about 63.3362387094.

The spelling of 254072 in words is "two hundred fifty-four thousand, seventy-two".