36086072 has 32 divisors (see below), whose sum is σ = 74444400. Its totient is φ = 16397920.

The previous prime is 36086069. The next prime is 36086101. The reversal of 36086072 is 27068063.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8954 + ... + 12342.

Almost surely, 2^36086072 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 36086072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37222200).

36086072 is an abundant number, since it is smaller than the sum of its proper divisors (38358328).

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

36086072 is a wasteful number, since it uses less digits than its factorization.

36086072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3428 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 36086072 is about 6007.1683845219. The cubic root of 36086072 is about 330.4556668181.

Subtracting from 36086072 its reverse (27068063), we obtain a square (9018009 = 3003²).

The spelling of 36086072 in words is "thirty-six million, eighty-six thousand, seventy-two".