2672728137 has 16 divisors (see below), whose sum is σ = 3961186560. Its totient is φ = 1781103600.

The previous prime is 2672728129. The next prime is 2672728139. The reversal of 2672728137 is 7318272762.

2672728137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2672728137 - 2³ = 2672728129 is a prime.

It is a super-2 number, since 2×2672728137² = 14286951388622981538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2672728092 and 2672728101.

It is not an unprimeable number, because it can be changed into a prime (2672728139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53587 + ... + 90647.

It is an arithmetic number, because the mean of its divisors is an integer number (247574160).

Almost surely, 2^2672728137 is an apocalyptic number.

2672728137 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2672728137 is a deficient number, since it is larger than the sum of its proper divisors (1288458423).

2672728137 is a wasteful number, since it uses less digits than its factorization.

2672728137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39741 (or 39735 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 2672728137 is about 51698.4345701105. The cubic root of 2672728137 is about 1387.7724508075.

The spelling of 2672728137 in words is "two billion, six hundred seventy-two million, seven hundred twenty-eight thousand, one hundred thirty-seven".