36286272 has 224 divisors, whose sum is σ = 122895360. Its totient is φ = 10391040.

The previous prime is 36286267. The next prime is 36286297. The reversal of 36286272 is 27268263.

36286272 is a `hidden beast` number, since 3 + 6 + 28 + 627 + 2 = 666.

It is a super-3 number, since 3×36286272³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437143 + ... + 437225.

It is an arithmetic number, because the mean of its divisors is an integer number (548640).

Almost surely, 2^36286272 is an apocalyptic number.

36286272 is a gapful number since it is divisible by the number (32) 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 36286272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61447680).

36286272 is an abundant number, since it is smaller than the sum of its proper divisors (86609088).

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

36286272 is a wasteful number, since it uses less digits than its factorization.

36286272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 122 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 36286272 is about 6023.8087619047. The cubic root of 36286272 is about 331.0656459886.

Subtracting from 36286272 its reverse (27268263), we obtain a square (9018009 = 3003²).

The spelling of 36286272 in words is "thirty-six million, two hundred eighty-six thousand, two hundred seventy-two".