272414112 has 96 divisors (see below), whose sum is σ = 743178240. Its totient is φ = 87279360.

The previous prime is 272414101. The next prime is 272414147. The reversal of 272414112 is 211414272.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711073 + ... + 711455.

It is an arithmetic number, because the mean of its divisors is an integer number (7741440).

Almost surely, 2^272414112 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 272414112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371589120).

272414112 is an abundant number, since it is smaller than the sum of its proper divisors (470764128).

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

272414112 is a wasteful number, since it uses less digits than its factorization.

272414112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 658 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 272414112 is about 16504.9723416915. The cubic root of 272414112 is about 648.2510077721.

Adding to 272414112 its reverse (211414272), we get a palindrome (483828384).

It can be divided in two parts, 2724 and 14112, that added together give a triangular number (16836 = T₁₈₃).

The spelling of 272414112 in words is "two hundred seventy-two million, four hundred fourteen thousand, one hundred twelve".