245872 has 30 divisors (see below), whose sum is σ = 527744. Its totient is φ = 110880.

The previous prime is 245863. The next prime is 245881. The reversal of 245872 is 278542.

It is an interprime number because it is at equal distance from previous prime (245863) and next prime (245881).

Its product of digits (4480) is a multiple of the sum of its prime divisors (140).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 245872.

It is a congruent number.

It is an unprimeable number.

245872 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 (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1873 + ... + 1999.

2²⁴⁵⁸⁷² is an apocalyptic number.

245872 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 245872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263872).

245872 is an abundant number, since it is smaller than the sum of its proper divisors (281872).

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

245872 is a wasteful number, since it uses less digits than its factorization.

245872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its digits is 4480, while the sum is 28.

The square root of 245872 is about 495.8548174617. The cubic root of 245872 is about 62.6473961169.

The spelling of 245872 in words is "two hundred forty-five thousand, eight hundred seventy-two".