2014272 has 84 divisors (see below), whose sum is σ = 6240780. Its totient is φ = 617472.

The previous prime is 2014267. The next prime is 2014277. The reversal of 2014272 is 2724102.

It is an interprime number because it is at equal distance from previous prime (2014267) and next prime (2014277).

It can be written as a sum of positive squares in 2 ways, for example, as 207936 + 1806336 = 456^2 + 1344^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2014277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7354 + ... + 7622.

It is an arithmetic number, because the mean of its divisors is an integer number (74295).

2^2014272 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 2014272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120390).

2014272 is an abundant number, since it is smaller than the sum of its proper divisors (4226508).

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

2014272 is a wasteful number, since it uses less digits than its factorization.

2014272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2014272 is about 1419.2505064294. The cubic root of 2014272 is about 126.2910881524.

Adding to 2014272 its reverse (2724102), we get a palindrome (4738374).

The spelling of 2014272 in words is "two million, fourteen thousand, two hundred seventy-two".