36005120 has 72 divisors (see below), whose sum is σ = 90066816. Its totient is φ = 13764608.

The previous prime is 36005113. The next prime is 36005131. The reversal of 36005120 is 2150063.

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, 28829 + ... + 30051.

It is an arithmetic number, because the mean of its divisors is an integer number (1250928).

Almost surely, 2^36005120 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 36005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45033408).

36005120 is an abundant number, since it is smaller than the sum of its proper divisors (54061696).

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

36005120 is a wasteful number, since it uses less digits than its factorization.

36005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 36005120 is about 6000.4266514974. The cubic root of 36005120 is about 330.2083777285.

Adding to 36005120 its reverse (2150063), we get a palindrome (38155183).

The spelling of 36005120 in words is "thirty-six million, five thousand, one hundred twenty".