36122592 has 96 divisors (see below), whose sum is σ = 104993280. Its totient is φ = 10782720.

The previous prime is 36122587. The next prime is 36122609. The reversal of 36122592 is 29522163.

36122592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 83208 + ... + 83640.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 2^36122592 is an apocalyptic number.

36122592 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 36122592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52496640).

36122592 is an abundant number, since it is smaller than the sum of its proper divisors (68870688).

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

36122592 is a wasteful number, since it uses less digits than its factorization.

36122592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 528 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 36122592 is about 6010.2073175557. The cubic root of 36122592 is about 330.5671056775.

The spelling of 36122592 in words is "thirty-six million, one hundred twenty-two thousand, five hundred ninety-two".