2752672 has 36 divisors (see below), whose sum is σ = 5879790. Its totient is φ = 1267968.

The previous prime is 2752669. The next prime is 2752679. The reversal of 2752672 is 2762572.

It can be written as a sum of positive squares in 3 ways, for example, as 1838736 + 913936 = 1356^2 + 956^2 .

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (2752679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5154 + ... + 5662.

2^2752672 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 2752672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939895).

2752672 is an abundant number, since it is smaller than the sum of its proper divisors (3127118).

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

2752672 is a wasteful number, since it uses less digits than its factorization.

2752672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 524 counting only the distinct ones).

The product of its digits is 11760, while the sum is 31.

The square root of 2752672 is about 1659.1178378886. The cubic root of 2752672 is about 140.1473278995.

The spelling of 2752672 in words is "two million, seven hundred fifty-two thousand, six hundred seventy-two".