2672136 has 64 divisors (see below), whose sum is σ = 7560000. Its totient is φ = 874368.

The previous prime is 2672123. The next prime is 2672143. The reversal of 2672136 is 6312762.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 19155 + ... + 19293.

It is an arithmetic number, because the mean of its divisors is an integer number (118125).

2^2672136 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 2672136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780000).

2672136 is an abundant number, since it is smaller than the sum of its proper divisors (4887864).

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

2672136 is a wasteful number, since it uses less digits than its factorization.

2672136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 233 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 2672136 is about 1634.6669385535. Note that the first 3 decimals coincide. The cubic root of 2672136 is about 138.7669957267.

Adding to 2672136 its reverse (6312762), we get a palindrome (8984898).

The spelling of 2672136 in words is "two million, six hundred seventy-two thousand, one hundred thirty-six".