636272 has 80 divisors (see below), whose sum is σ = 1666560. Its totient is φ = 228096.

The previous prime is 636263. The next prime is 636277. The reversal of 636272 is 272636.

636272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 6⁷ + 3¹⁰ + 2⁵ + 6⁷ + 7⁵ + 2⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (636277) by changing a digit.

636272 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 15 ways as a sum of consecutive naturals, for example, 27653 + ... + 27675.

It is an arithmetic number, because the mean of its divisors is an integer number (20832).

2⁶³⁶²⁷² 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 636272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833280).

636272 is an abundant number, since it is smaller than the sum of its proper divisors (1030288).

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

636272 is a wasteful number, since it uses less digits than its factorization.

636272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 64 counting only the distinct ones).

The product of its digits is 3024, while the sum is 26.

The square root of 636272 is about 797.6665970191. Note that the first 3 decimals coincide. The cubic root of 636272 is about 86.0097338901.

The spelling of 636272 in words is "six hundred thirty-six thousand, two hundred seventy-two".