314547072 has 192 divisors, whose sum is σ = 989542800. Its totient is φ = 88252416.

The previous prime is 314547067. The next prime is 314547083. The reversal of 314547072 is 270745413.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1373454 + ... + 1373682.

Almost surely, 2^314547072 is an apocalyptic number.

314547072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314547072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494771400).

314547072 is an abundant number, since it is smaller than the sum of its proper divisors (674995728).

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

314547072 is a wasteful number, since it uses less digits than its factorization.

314547072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 314547072 is about 17735.4749583991. The cubic root of 314547072 is about 680.0829425932.

The spelling of 314547072 in words is "three hundred fourteen million, five hundred forty-seven thousand, seventy-two".