36705312 has 270 divisors, whose sum is σ = 133394877. Its totient is φ = 9870336.

The previous prime is 36705311. The next prime is 36705323. The reversal of 36705312 is 21350763.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 33593616 + 3111696 = 5796^2 + 1764^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4284.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (36705311) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2159128 + ... + 2159144.

Almost surely, 2^36705312 is an apocalyptic number.

36705312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36705312

36705312 is an abundant number, since it is smaller than the sum of its proper divisors (96689565).

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

36705312 is a wasteful number, since it uses less digits than its factorization.

36705312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 36705312 is about 6058.4909012063. The cubic root of 36705312 is about 332.3351722289.

The spelling of 36705312 in words is "thirty-six million, seven hundred five thousand, three hundred twelve".