272013 has 8 divisors (see below), whose sum is σ = 414528. Its totient is φ = 155424.

The previous prime is 272011. The next prime is 272029. The reversal of 272013 is 310272.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 272013 - 2¹ = 272011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 271983 and 272001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6456 + ... + 6497.

It is an arithmetic number, because the mean of its divisors is an integer number (51816).

2²⁷²⁰¹³ is an apocalyptic number.

It is an amenable number.

272013 is a deficient number, since it is larger than the sum of its proper divisors (142515).

272013 is a wasteful number, since it uses less digits than its factorization.

272013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12963.

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 272013 is about 521.5486554484. The cubic root of 272013 is about 64.7932682384.

Adding to 272013 its reverse (310272), we get a palindrome (582285).

The spelling of 272013 in words is "two hundred seventy-two thousand, thirteen".