2763072 has 140 divisors (see below), whose sum is σ = 9035796. Its totient is φ = 829440.

The previous prime is 2763071. The next prime is 2763097. The reversal of 2763072 is 2703672.

2763072 is a `hidden beast` number, since 27 + 630 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 254016 + 2509056 = 504^2 + 1584^2 .

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2763071) 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 19 ways as a sum of consecutive naturals, for example, 67372 + ... + 67412.

2^2763072 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 2763072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517898).

2763072 is an abundant number, since it is smaller than the sum of its proper divisors (6272724).

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

2763072 is a wasteful number, since it uses less digits than its factorization.

2763072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 2763072 is about 1662.2490788086. The cubic root of 2763072 is about 140.3236051630.

The spelling of 2763072 in words is "two million, seven hundred sixty-three thousand, seventy-two".