36748272 has 80 divisors (see below), whose sum is σ = 104993280. Its totient is φ = 10982400.

The previous prime is 36748213. The next prime is 36748297. The reversal of 36748272 is 27284763.

36748272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 36748272.

It is a congruent number.

It is an unprimeable number.

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, 41272 + ... + 42152.

It is an arithmetic number, because the mean of its divisors is an integer number (1312416).

Almost surely, 2^36748272 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 36748272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52496640).

36748272 is an abundant number, since it is smaller than the sum of its proper divisors (68245008).

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

36748272 is a wasteful number, since it uses less digits than its factorization.

36748272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 976 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 36748272 is about 6062.0353017778. The cubic root of 36748272 is about 332.4647770177.

The spelling of 36748272 in words is "thirty-six million, seven hundred forty-eight thousand, two hundred seventy-two".