2967272 has 32 divisors (see below), whose sum is σ = 6937920. Its totient is φ = 1155840.

The previous prime is 2967271. The next prime is 2967277. The reversal of 2967272 is 2727692.

2967272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

2967272 is a modest number, since divided by 7272 gives 296 as remainder.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (2967271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1793 + ... + 3024.

It is an arithmetic number, because the mean of its divisors is an integer number (216810).

2^2967272 is an apocalyptic number.

2967272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2967272 is an abundant number, since it is smaller than the sum of its proper divisors (3970648).

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

2967272 is a wasteful number, since it uses less digits than its factorization.

2967272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4841 (or 4837 counting only the distinct ones).

The product of its digits is 21168, while the sum is 35.

The square root of 2967272 is about 1722.5771390565. The cubic root of 2967272 is about 143.6985721516.

It can be divided in two parts, 296 and 7272, that multiplied together give a palindrome (2152512).

The spelling of 2967272 in words is "two million, nine hundred sixty-seven thousand, two hundred seventy-two".