865114272 has 288 divisors, whose sum is σ = 2898395136. Its totient is φ = 242035200.

The previous prime is 865114247. The next prime is 865114277. The reversal of 865114272 is 272411568.

It is a tau number, because it is divible by the number of its divisors (288).

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 (865114277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2258593 + ... + 2258975.

It is an arithmetic number, because the mean of its divisors is an integer number (10063872).

Almost surely, 2^865114272 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 865114272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449197568).

865114272 is an abundant number, since it is smaller than the sum of its proper divisors (2033280864).

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

865114272 is a wasteful number, since it uses less digits than its factorization.

865114272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 453 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 865114272 is about 29412.8249578309. The cubic root of 865114272 is about 952.8498989363.

The spelling of 865114272 in words is "eight hundred sixty-five million, one hundred fourteen thousand, two hundred seventy-two".