314265072 has 80 divisors (see below), whose sum is σ = 893157120. Its totient is φ = 95212480.

The previous prime is 314265071. The next prime is 314265079. The reversal of 314265072 is 270562413.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314265071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61429 + ... + 66347.

It is an arithmetic number, because the mean of its divisors is an integer number (11164464).

Almost surely, 2^314265072 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 314265072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446578560).

314265072 is an abundant number, since it is smaller than the sum of its proper divisors (578892048).

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

314265072 is a wasteful number, since it uses less digits than its factorization.

314265072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4963 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 314265072 is about 17727.5230080234. The cubic root of 314265072 is about 679.8796442123.

The spelling of 314265072 in words is "three hundred fourteen million, two hundred sixty-five thousand, seventy-two".