249672 has 32 divisors (see below), whose sum is σ = 636480. Its totient is φ = 81600.

The previous prime is 249671. The next prime is 249677. The reversal of 249672 is 276942.

It is a happy number.

It is a super-2 number, since 2×249672² = 124672215168, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2 + 4 + 6³ + 9³ + 7⁶ + 2¹⁷ .

It is not an unprimeable number, because it can be changed into a prime (249671) 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, 2373 + ... + 2475.

It is an arithmetic number, because the mean of its divisors is an integer number (19890).

2²⁴⁹⁶⁷² is an apocalyptic number.

It is an amenable number.

249672 is an abundant number, since it is smaller than the sum of its proper divisors (386808).

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

249672 is a wasteful number, since it uses less digits than its factorization.

249672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 209 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 249672 is about 499.6718923454. The cubic root of 249672 is about 62.9684901637.

The spelling of 249672 in words is "two hundred forty-nine thousand, six hundred seventy-two".