36112000 has 128 divisors (see below), whose sum is σ = 93721680. Its totient is φ = 13824000.

The previous prime is 36111991. The next prime is 36112003. The reversal of 36112000 is 21163.

It can be written as a sum of positive squares in 8 ways, for example, as 399424 + 35712576 = 632^2 + 5976^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (36112003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 591970 + ... + 592030.

Almost surely, 2^36112000 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 36112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46860840).

36112000 is an abundant number, since it is smaller than the sum of its proper divisors (57609680).

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

36112000 is an equidigital number, since it uses as much as digits as its factorization.

36112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 36112000 is about 6009.3260853443. The cubic root of 36112000 is about 330.5347924826.

Adding to 36112000 its reverse (21163), we get a palindrome (36133163).

The spelling of 36112000 in words is "thirty-six million, one hundred twelve thousand".