264072192 has 88 divisors (see below), whose sum is σ = 714910656. Its totient is φ = 86642688.

The previous prime is 264072161. The next prime is 264072199. The reversal of 264072192 is 291270462.

264072192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (264072199) 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, 205183 + ... + 206465.

Almost surely, 2^264072192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264072192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357455328).

264072192 is an abundant number, since it is smaller than the sum of its proper divisors (450838464).

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

264072192 is a wasteful number, since it uses less digits than its factorization.

264072192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 264072192 is about 16250.2982126483. The cubic root of 264072192 is about 641.5653349928.

The spelling of 264072192 in words is "two hundred sixty-four million, seventy-two thousand, one hundred ninety-two".