249006072 has 64 divisors (see below), whose sum is σ = 753304320. Its totient is φ = 66958848.

The previous prime is 249006067. The next prime is 249006083. The reversal of 249006072 is 270600942.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40738 + ... + 46449.

It is an arithmetic number, because the mean of its divisors is an integer number (11770380).

Almost surely, 2^249006072 is an apocalyptic number.

It is an amenable number.

249006072 is an abundant number, since it is smaller than the sum of its proper divisors (504298248).

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

249006072 is a wasteful number, since it uses less digits than its factorization.

249006072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87220 (or 87216 counting only the distinct ones).

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

The square root of 249006072 is about 15779.9262355690. The cubic root of 249006072 is about 629.1245689204.

The spelling of 249006072 in words is "two hundred forty-nine million, six thousand, seventy-two".