314712072 has 48 divisors (see below), whose sum is σ = 857142000. Its totient is φ = 104313696.

The previous prime is 314712053. The next prime is 314712091. The reversal of 314712072 is 270217413.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (314712053) and next prime (314712091).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 679 + ... + 25097.

It is an arithmetic number, because the mean of its divisors is an integer number (17857125).

Almost surely, 2^314712072 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 314712072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428571000).

314712072 is an abundant number, since it is smaller than the sum of its proper divisors (542429928).

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

314712072 is a wasteful number, since it uses less digits than its factorization.

314712072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24610 (or 24603 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 314712072 is about 17740.1260423933. The cubic root of 314712072 is about 680.2018374319.

Adding to 314712072 its reverse (270217413), we get a palindrome (584929485).

The spelling of 314712072 in words is "three hundred fourteen million, seven hundred twelve thousand, seventy-two".