36085572 has 18 divisors (see below), whose sum is σ = 91216398. Its totient is φ = 12028512.

The previous prime is 36085559. The next prime is 36085573. The reversal of 36085572 is 27558063.

36085572 is a `hidden beast` number, since 3 + 6 + 0 + 85 + 572 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33942276 + 2143296 = 5826^2 + 1464^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1002377 = 36085572 / (3 + 6 + 0 + 8 + 5 + 5 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (36085573) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 501153 + ... + 501224.

Almost surely, 2^36085572 is an apocalyptic number.

It is an amenable number.

36085572 is an abundant number, since it is smaller than the sum of its proper divisors (55130826).

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

36085572 is a wasteful number, since it uses less digits than its factorization.

36085572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002387 (or 1002382 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 36085572 is about 6007.1267674322. The cubic root of 36085572 is about 330.4541405727.

It can be divided in two parts, 3608 and 5572, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 36085572 in words is "thirty-six million, eighty-five thousand, five hundred seventy-two".