36725712192 has 336 divisors, whose sum is σ = 118132140672. Its totient is φ = 10834145280.

The previous prime is 36725712169. The next prime is 36725712193. The reversal of 36725712192 is 29121752763.

It is a happy number.

36725712192 is a `hidden beast` number, since 3 + 6 + 72 + 571 + 2 + 1 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36725712193) 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 47 ways as a sum of consecutive naturals, for example, 19670043 + ... + 19671909.

It is an arithmetic number, because the mean of its divisors is an integer number (351583752).

Almost surely, 2^36725712192 is an apocalyptic number.

36725712192 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 36725712192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59066070336).

36725712192 is an abundant number, since it is smaller than the sum of its proper divisors (81406428480).

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

36725712192 is a wasteful number, since it uses less digits than its factorization.

36725712192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 1993 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

It can be divided in two parts, 3672571 and 2192, that added together give a palindrome (3674763).

The spelling of 36725712192 in words is "thirty-six billion, seven hundred twenty-five million, seven hundred twelve thousand, one hundred ninety-two".