2737728 has 126 divisors (see below), whose sum is σ = 9222486. Its totient is φ = 774144.

The previous prime is 2737727. The next prime is 2737747. The reversal of 2737728 is 8277372.

It can be written as a sum of positive squares in only one way, i.e., 2286144 + 451584 = 1512^2 + 672^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2737692 and 2737701.

It is not an unprimeable number, because it can be changed into a prime (2737723) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28176 + ... + 28272.

2^2737728 is an apocalyptic number.

2737728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2737728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4611243).

2737728 is an abundant number, since it is smaller than the sum of its proper divisors (6484758).

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

2737728 is a wasteful number, since it uses less digits than its factorization.

2737728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 109 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 2737728 is about 1654.6081107017. The cubic root of 2737728 is about 139.8932519601.

It can be divided in two parts, 273 and 7728, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 2737728 in words is "two million, seven hundred thirty-seven thousand, seven hundred twenty-eight".