265264272 has 240 divisors, whose sum is σ = 944606208. Its totient is φ = 67599360.

The previous prime is 265264231. The next prime is 265264273. The reversal of 265264272 is 272462562.

265264272 is a `hidden beast` number, since 2 + 6 + 5 + 2 + 642 + 7 + 2 = 666.

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 (265264273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405898 + ... + 406550.

Almost surely, 2^265264272 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 265264272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472303104).

265264272 is an abundant number, since it is smaller than the sum of its proper divisors (679341936).

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

265264272 is a wasteful number, since it uses less digits than its factorization.

265264272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 709 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 265264272 is about 16286.9356233762. The cubic root of 265264272 is about 642.5292750114.

The spelling of 265264272 in words is "two hundred sixty-five million, two hundred sixty-four thousand, two hundred seventy-two".