229872 has 20 divisors (see below), whose sum is σ = 593960. Its totient is φ = 76608.

The previous prime is 229849. The next prime is 229897. The reversal of 229872 is 278922.

It is a super-2 number, since 2×229872² = 105682272768, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2¹⁴ + 2¹⁶ + 8² + 9 + 7⁵ + 2¹⁷ .

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2347 + ... + 2442.

It is an arithmetic number, because the mean of its divisors is an integer number (29698).

2²²⁹⁸⁷² is an apocalyptic number.

It is an amenable number.

229872 is an abundant number, since it is smaller than the sum of its proper divisors (364088).

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

229872 is a wasteful number, since it uses less digits than its factorization.

229872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4800 (or 4794 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 229872 is about 479.4496845343. The cubic root of 229872 is about 61.2578887521.

The spelling of 229872 in words is "two hundred twenty-nine thousand, eight hundred seventy-two".