272664 has 48 divisors (see below), whose sum is σ = 845520. Its totient is φ = 77760.

The previous prime is 272659. The next prime is 272683. The reversal of 272664 is 466272.

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

It is a congruent number.

It is an unprimeable number.

272664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 234 + ... + 774.

It is an arithmetic number, because the mean of its divisors is an integer number (17615).

2²⁷²⁶⁶⁴ is an apocalyptic number.

272664 is a gapful number since it is divisible by the number (24) 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 272664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422760).

272664 is an abundant number, since it is smaller than the sum of its proper divisors (572856).

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

272664 is a wasteful number, since it uses less digits than its factorization.

272664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 553 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 272664 is about 522.1723853288. The cubic root of 272664 is about 64.8449162755.

Adding to 272664 its sum of digits (27), we get a triangular number (272691 = T₇₃₈).

The spelling of 272664 in words is "two hundred seventy-two thousand, six hundred sixty-four".