272314416 has 160 divisors (see below), whose sum is σ = 804519936. Its totient is φ = 78624000.

The previous prime is 272314409. The next prime is 272314429. The reversal of 272314416 is 614413272.

It is a super-2 number, since 2×272314416² = 148310282322842112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2078671 + ... + 2078801.

Almost surely, 2^272314416 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 272314416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402259968).

272314416 is an abundant number, since it is smaller than the sum of its proper divisors (532205520).

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

272314416 is a wasteful number, since it uses less digits than its factorization.

272314416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 272314416 is about 16501.9518845499. The cubic root of 272314416 is about 648.1719175008.

Adding to 272314416 its reverse (614413272), we get a palindrome (886727688).

The spelling of 272314416 in words is "two hundred seventy-two million, three hundred fourteen thousand, four hundred sixteen".