36272345853260 has 192 divisors, whose sum is σ = 85900048819200. Its totient is φ = 12751916728320.

The previous prime is 36272345853259. The next prime is 36272345853379. The reversal of 36272345853260 is 6235854327263.

It is a super-3 number, since 3×36272345853260³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36272345853196 and 36272345853205.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 363280304 + ... + 363380136.

It is an arithmetic number, because the mean of its divisors is an integer number (447396087600).

Almost surely, 2^{36272345853260} 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 36272345853260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42950024409600).

36272345853260 is an abundant number, since it is smaller than the sum of its proper divisors (49627702965940).

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

36272345853260 is a wasteful number, since it uses less digits than its factorization.

36272345853260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100288 (or 100286 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 56.

The spelling of 36272345853260 in words is "thirty-six trillion, two hundred seventy-two billion, three hundred forty-five million, eight hundred fifty-three thousand, two hundred sixty".