36301272 has 64 divisors (see below), whose sum is σ = 107308800. Its totient is φ = 10012800.

The previous prime is 36301271. The next prime is 36301289. The reversal of 36301272 is 27210363.

36301272 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 (24).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36301271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1147 + ... + 8597.

It is an arithmetic number, because the mean of its divisors is an integer number (1676700).

Almost surely, 2^36301272 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 36301272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53654400).

36301272 is an abundant number, since it is smaller than the sum of its proper divisors (71007528).

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

36301272 is a wasteful number, since it uses less digits than its factorization.

36301272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7496 (or 7492 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 36301272 is about 6025.0536927068. The cubic root of 36301272 is about 331.1112582849. Note that the first 3 decimals are identical.

Subtracting from 36301272 its reverse (27210363), we obtain a palindrome (9090909).

The spelling of 36301272 in words is "thirty-six million, three hundred one thousand, two hundred seventy-two".