36385720272 has 540 divisors, whose sum is σ = 120711594276. Its totient is φ = 10213632000.

The previous prime is 36385720207. The next prime is 36385720277. The reversal of 36385720272 is 27202758363.

36385720272 is a `hidden beast` number, since 3 + 6 + 3 + 8 + 572 + 0 + 2 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12206714256 + 24179006016 = 110484^2 + 155496^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36385720277) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 686522998 + ... + 686523050.

Almost surely, 2^36385720272 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 36385720272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60355797138).

36385720272 is an abundant number, since it is smaller than the sum of its proper divisors (84325874004).

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

36385720272 is a wasteful number, since it uses less digits than its factorization.

36385720272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

It can be divided in two parts, 36385 and 720272, that added together give a palindrome (756657).

The spelling of 36385720272 in words is "thirty-six billion, three hundred eighty-five million, seven hundred twenty thousand, two hundred seventy-two".