36378272 has 72 divisors (see below), whose sum is σ = 85843296. Its totient is φ = 14864256.

The previous prime is 36378269. The next prime is 36378323. The reversal of 36378272 is 27287363.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118343 + ... + 118649.

It is an arithmetic number, because the mean of its divisors is an integer number (1192268).

Almost surely, 2^36378272 is an apocalyptic number.

36378272 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 36378272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42921648).

36378272 is an abundant number, since it is smaller than the sum of its proper divisors (49465024).

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

36378272 is a wasteful number, since it uses less digits than its factorization.

36378272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 339 counting only the distinct ones).

The product of its digits is 84672, while the sum is 38.

The square root of 36378272 is about 6031.4402923348. The cubic root of 36378272 is about 331.3452038205.

Subtracting from 36378272 its reverse (27287363), we obtain a palindrome (9090909).

The spelling of 36378272 in words is "thirty-six million, three hundred seventy-eight thousand, two hundred seventy-two".