36725818147272 has 224 divisors, whose sum is σ = 106113273639480. Its totient is φ = 11902229268480.

The previous prime is 36725818147261. The next prime is 36725818147273. The reversal of 36725818147272 is 27274181852763.

36725818147272 is a `hidden beast` number, since 3 + 6 + 7 + 2 + 5 + 81 + 81 + 472 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26790499810116 + 9935318337156 = 5175954^2 + 3152034^2 .

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

It is not an unprimeable number, because it can be changed into a prime (36725818147273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 293619498 + ... + 293744550.

Almost surely, 2^{36725818147272} 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 36725818147272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53056636819740).

36725818147272 is an abundant number, since it is smaller than the sum of its proper divisors (69387455492208).

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

36725818147272 is a wasteful number, since it uses less digits than its factorization.

36725818147272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126475 (or 126456 counting only the distinct ones).

The product of its digits is 63221760, while the sum is 63.

The spelling of 36725818147272 in words is "thirty-six trillion, seven hundred twenty-five billion, eight hundred eighteen million, one hundred forty-seven thousand, two hundred seventy-two".