814275072 has 320 divisors, whose sum is σ = 2722325760. Its totient is φ = 238436352.

The previous prime is 814275071. The next prime is 814275083. The reversal of 814275072 is 270572418.

814275072 is a `hidden beast` number, since 8 + 142 + 7 + 507 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814275071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4133278 + ... + 4133474.

It is an arithmetic number, because the mean of its divisors is an integer number (8507268).

Almost surely, 2^814275072 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 814275072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361162880).

814275072 is an abundant number, since it is smaller than the sum of its proper divisors (1908050688).

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

814275072 is a wasteful number, since it uses less digits than its factorization.

814275072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 814275072 is about 28535.5054624936. The cubic root of 814275072 is about 933.8068309469.

The spelling of 814275072 in words is "eight hundred fourteen million, two hundred seventy-five thousand, seventy-two".