601272 has 48 divisors (see below), whose sum is σ = 1862640. Its totient is φ = 171648.

The previous prime is 601267. The next prime is 601283. The reversal of 601272 is 272106.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

601272 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, 93 + ... + 1100.

It is an arithmetic number, because the mean of its divisors is an integer number (38805).

2⁶⁰¹²⁷² 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 601272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931320).

601272 is an abundant number, since it is smaller than the sum of its proper divisors (1261368).

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

601272 is a wasteful number, since it uses less digits than its factorization.

601272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 601272 is about 775.4173070031. The cubic root of 601272 is about 84.4028270356.

Adding to 601272 its reverse (272106), we get a palindrome (873378).

It can be divided in two parts, 6012 and 72, that added together give a square (6084 = 78²).

The spelling of 601272 in words is "six hundred one thousand, two hundred seventy-two".