272629 has 16 divisors (see below), whose sum is σ = 345600. Its totient is φ = 209664.

The previous prime is 272621. The next prime is 272651. The reversal of 272629 is 926272.

It is not a de Polignac number, because 272629 - 2³ = 272621 is a prime.

It is a Duffinian number.

272629 is a modest number, since divided by 629 gives 272 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 272597 and 272606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272621) 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, 3412 + ... + 3490.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

2²⁷²⁶²⁹ is an apocalyptic number.

272629 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

272629 is a deficient number, since it is larger than the sum of its proper divisors (72971).

272629 is a wasteful number, since it uses less digits than its factorization.

272629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132.

The product of its digits is 3024, while the sum is 28.

The square root of 272629 is about 522.1388704167. The cubic root of 272629 is about 64.8421415917.

Adding to 272629 its product of digits (3024), we get a triangular number (275653 = T₇₄₂).

The spelling of 272629 in words is "two hundred seventy-two thousand, six hundred twenty-nine".