36854272 has 120 divisors (see below), whose sum is σ = 93064356. Its totient is φ = 14450688.

The previous prime is 36854263. The next prime is 36854287. The reversal of 36854272 is 27245863.

It can be written as a sum of positive squares in 2 ways, for example, as 27709696 + 9144576 = 5264^2 + 3024^2 .

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, 326088 + ... + 326200.

Almost surely, 2^36854272 is an apocalyptic number.

36854272 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 36854272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46532178).

36854272 is an abundant number, since it is smaller than the sum of its proper divisors (56210084).

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

36854272 is a wasteful number, since it uses less digits than its factorization.

36854272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 135 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The square root of 36854272 is about 6070.7719443247. The cubic root of 36854272 is about 332.7841338590.

The spelling of 36854272 in words is "thirty-six million, eight hundred fifty-four thousand, two hundred seventy-two".