88272 has 30 divisors (see below), whose sum is σ = 247442. Its totient is φ = 29376.

The previous prime is 88261. The next prime is 88289. The reversal of 88272 is 27288.

It can be written as a sum of positive squares in only one way, i.e., 46656 + 41616 = 216^2 + 204^2 .

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

88272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 163 + ... + 450.

2⁸⁸²⁷² is an apocalyptic number.

It is an amenable number.

88272 is an abundant number, since it is smaller than the sum of its proper divisors (159170).

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

88272 is a wasteful number, since it uses less digits than its factorization.

88272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 618 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 88272 is about 297.1060416754. The cubic root of 88272 is about 44.5253821447.

It can be divided in two parts, 882 and 72, that multiplied together give a square (63504 = 252²).

The spelling of 88272 in words is "eighty-eight thousand, two hundred seventy-two".