36101072 has 40 divisors (see below), whose sum is σ = 80786496. Its totient is φ = 15307776.

The previous prime is 36101071. The next prime is 36101113. The reversal of 36101072 is 27010163.

It is a happy number.

36101072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36101071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9203 + ... + 12525.

Almost surely, 2^36101072 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 36101072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40393248).

36101072 is an abundant number, since it is smaller than the sum of its proper divisors (44685424).

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

36101072 is a wasteful number, since it uses less digits than its factorization.

36101072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3435 (or 3429 counting only the distinct ones).

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

The square root of 36101072 is about 6008.4167631748. The cubic root of 36101072 is about 330.5014476238.

Subtracting from 36101072 its reverse (27010163), we obtain a palindrome (9090909).

The spelling of 36101072 in words is "thirty-six million, one hundred one thousand, seventy-two".