272412 has 72 divisors (see below), whose sum is σ = 838656. Its totient is φ = 72864.

The previous prime is 272411. The next prime is 272417. The reversal of 272412 is 214272.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5773 + ... + 5819.

It is an arithmetic number, because the mean of its divisors is an integer number (11648).

2²⁷²⁴¹² 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 272412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419328).

272412 is an abundant number, since it is smaller than the sum of its proper divisors (566244).

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

272412 is a wasteful number, since it uses less digits than its factorization.

272412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 82 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 272412 is about 521.9310299264. The cubic root of 272412 is about 64.8249332492.

Adding to 272412 its reverse (214272), we get a palindrome (486684).

The spelling of 272412 in words is "two hundred seventy-two thousand, four hundred twelve", and thus it is an iban number.