314016072 has 16 divisors (see below), whose sum is σ = 785040240. Its totient is φ = 104672016.

The previous prime is 314016067. The next prime is 314016083. The reversal of 314016072 is 270610413.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 13084003 = 314016072 / (3 + 1 + 4 + 0 + 1 + 6 + 0 + 7 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6541978 + ... + 6542025.

It is an arithmetic number, because the mean of its divisors is an integer number (49065015).

Almost surely, 2^314016072 is an apocalyptic number.

It is an amenable number.

314016072 is an abundant number, since it is smaller than the sum of its proper divisors (471024168).

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

314016072 is a wasteful number, since it uses less digits than its factorization.

314016072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13084012 (or 13084008 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 314016072 is about 17720.4986385824. The cubic root of 314016072 is about 679.7000349407.

Adding to 314016072 its reverse (270610413), we get a palindrome (584626485).

It can be divided in two parts, 31401 and 6072, that added together give a palindrome (37473).

The spelling of 314016072 in words is "three hundred fourteen million, sixteen thousand, seventy-two".