314022072 has 128 divisors (see below), whose sum is σ = 983001600. Its totient is φ = 81381888.

The previous prime is 314022047. The next prime is 314022073. The reversal of 314022072 is 270220413.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314022073) 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, 127638 + ... + 130074.

It is an arithmetic number, because the mean of its divisors is an integer number (7679700).

Almost surely, 2^314022072 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 314022072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491500800).

314022072 is an abundant number, since it is smaller than the sum of its proper divisors (668979528).

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

314022072 is a wasteful number, since it uses less digits than its factorization.

314022072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 314022072 is about 17720.6679332355. The cubic root of 314022072 is about 679.7043639911.

Adding to 314022072 its reverse (270220413), we get a palindrome (584242485).

The spelling of 314022072 in words is "three hundred fourteen million, twenty-two thousand, seventy-two".