249507072 has 54 divisors (see below), whose sum is σ = 719397042. Its totient is φ = 83168256.

The previous prime is 249507053. The next prime is 249507101. The reversal of 249507072 is 270705942.

249507072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 134931456 + 114575616 = 11616^2 + 10704^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51843 + ... + 56450.

Almost surely, 2^249507072 is an apocalyptic number.

It is an amenable number.

249507072 is an abundant number, since it is smaller than the sum of its proper divisors (469889970).

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

249507072 is a wasteful number, since it uses less digits than its factorization.

249507072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108315 (or 108298 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 249507072 is about 15795.7928575934. The cubic root of 249507072 is about 629.5462189551.

The spelling of 249507072 in words is "two hundred forty-nine million, five hundred seven thousand, seventy-two".