657272 has 48 divisors (see below), whose sum is σ = 1564080. Its totient is φ = 253440.

The previous prime is 657269. The next prime is 657281. The reversal of 657272 is 272756.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6728 + ... + 6824.

It is an arithmetic number, because the mean of its divisors is an integer number (32585).

2⁶⁵⁷²⁷² 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 657272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782040).

657272 is an abundant number, since it is smaller than the sum of its proper divisors (906808).

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

657272 is a wasteful number, since it uses less digits than its factorization.

657272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 117 counting only the distinct ones).

The product of its digits is 5880, while the sum is 29.

The square root of 657272 is about 810.7231339983. The cubic root of 657272 is about 86.9457538261.

It can be divided in two parts, 657 and 272, that added together give a palindrome (929).

The spelling of 657272 in words is "six hundred fifty-seven thousand, two hundred seventy-two".