36135072 has 84 divisors (see below), whose sum is σ = 106731450. Its totient is φ = 12037248.

The previous prime is 36135023. The next prime is 36135089. The reversal of 36135072 is 27053163.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 32764176 + 3370896 = 5724^2 + 1836^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 22554 + ... + 24102.

Almost surely, 2^36135072 is an apocalyptic number.

36135072 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 36135072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53365725).

36135072 is an abundant number, since it is smaller than the sum of its proper divisors (70596378).

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

36135072 is an equidigital number, since it uses as much as digits as its factorization.

36135072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1554 counting only the distinct ones).

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

The square root of 36135072 is about 6011.2454616327. The cubic root of 36135072 is about 330.6051705213.

The spelling of 36135072 in words is "thirty-six million, one hundred thirty-five thousand, seventy-two".