265671072 has 144 divisors (see below), whose sum is σ = 812972160. Its totient is φ = 82031616.

The previous prime is 265671037. The next prime is 265671089. The reversal of 265671072 is 270176562.

265671072 is a `hidden beast` number, since 26 + 567 + 1 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×265671072² = 141162236995258368, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256668 + ... + 257700.

It is an arithmetic number, because the mean of its divisors is an integer number (5645640).

Almost surely, 2^265671072 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 265671072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406486080).

265671072 is an abundant number, since it is smaller than the sum of its proper divisors (547301088).

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

265671072 is a wasteful number, since it uses less digits than its factorization.

265671072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1104 counting only the distinct ones).

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

The square root of 265671072 is about 16299.4193761618. The cubic root of 265671072 is about 642.8575607193.

The spelling of 265671072 in words is "two hundred sixty-five million, six hundred seventy-one thousand, seventy-two".