2667072 has 56 divisors (see below), whose sum is σ = 7315200. Its totient is φ = 856576.

The previous prime is 2667061. The next prime is 2667097. The reversal of 2667072 is 2707662.

It is a super-2 number, since 2×2667072² = 14226546106368, which contains 22 as substring.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5329 + ... + 5807.

2^2667072 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 2667072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657600).

2667072 is an abundant number, since it is smaller than the sum of its proper divisors (4648128).

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

2667072 is a wasteful number, since it uses less digits than its factorization.

2667072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 2667072 is about 1633.1172646200. The cubic root of 2667072 is about 138.6792805751.

The spelling of 2667072 in words is "two million, six hundred sixty-seven thousand, seventy-two".