36071120 has 60 divisors (see below), whose sum is σ = 88582500. Its totient is φ = 13658112.

The previous prime is 36071117. The next prime is 36071129. The reversal of 36071120 is 2117063.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13868176 + 22202944 = 3724^2 + 4712^2 .

It is a super-2 number, since 2×36071120² = 2602251396108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 36071092 and 36071101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36071129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28256 + ... + 29504.

It is an arithmetic number, because the mean of its divisors is an integer number (1476375).

Almost surely, 2^36071120 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 36071120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44291250).

36071120 is an abundant number, since it is smaller than the sum of its proper divisors (52511380).

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

36071120 is a wasteful number, since it uses less digits than its factorization.

36071120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 36071120 is about 6005.9237424396. The cubic root of 36071120 is about 330.4100198835.

Adding to 36071120 its reverse (2117063), we get a palindrome (38188183).

The spelling of 36071120 in words is "thirty-six million, seventy-one thousand, one hundred twenty".