2672736 has 48 divisors (see below), whose sum is σ = 7656768. Its totient is φ = 809600.

The previous prime is 2672731. The next prime is 2672767. The reversal of 2672736 is 6372762.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2672697 and 2672706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2672731) by changing a digit.

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, 210 + ... + 2321.

It is an arithmetic number, because the mean of its divisors is an integer number (159516).

2^2672736 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 2672736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3828384).

2672736 is an abundant number, since it is smaller than the sum of its proper divisors (4984032).

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

2672736 is a wasteful number, since it uses less digits than its factorization.

2672736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2547 counting only the distinct ones).

The product of its digits is 21168, while the sum is 33.

The square root of 2672736 is about 1634.8504518763. The cubic root of 2672736 is about 138.7773811720. Note that the first 3 decimals are identical.

Multiplying 2672736 by its sum of digits (33), we get a palindrome (88200288).

It can be divided in two parts, 267 and 2736, that added together give a palindrome (3003).

The spelling of 2672736 in words is "two million, six hundred seventy-two thousand, seven hundred thirty-six".