36518272 has 64 divisors (see below), whose sum is σ = 84823200. Its totient is φ = 15335424.

The previous prime is 36518263. The next prime is 36518281. The reversal of 36518272 is 27281563.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36518263) and next prime (36518281).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47104 + ... + 47872.

Almost surely, 2^36518272 is an apocalyptic number.

36518272 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 36518272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42411600).

36518272 is an abundant number, since it is smaller than the sum of its proper divisors (48304928).

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

36518272 is an equidigital number, since it uses as much as digits as its factorization.

36518272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 831 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 36518272 is about 6043.0349990712. The cubic root of 36518272 is about 331.7697149839.

The spelling of 36518272 in words is "thirty-six million, five hundred eighteen thousand, two hundred seventy-two".