249336072 has 24 divisors (see below), whose sum is σ = 675285390. Its totient is φ = 83112000.

The previous prime is 249336071. The next prime is 249336151. The reversal of 249336072 is 270633942.

It is a happy number.

249336072 is a `hidden beast` number, since 2 + 49 + 3 + 3 + 607 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 243547236 + 5788836 = 15606^2 + 2406^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (249336071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1731429 + ... + 1731572.

Almost surely, 2^249336072 is an apocalyptic number.

It is an amenable number.

249336072 is an abundant number, since it is smaller than the sum of its proper divisors (425949318).

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

249336072 is a wasteful number, since it uses less digits than its factorization.

249336072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3463013 (or 3463006 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 249336072 is about 15790.3790961459. The cubic root of 249336072 is about 629.4023659771.

The spelling of 249336072 in words is "two hundred forty-nine million, three hundred thirty-six thousand, seventy-two".