36227072 has 108 divisors (see below), whose sum is σ = 88931115. Its totient is φ = 14708736.

The previous prime is 36227071. The next prime is 36227089. The reversal of 36227072 is 27072263.

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 only one way, i.e., 18113536 + 18113536 = 4256^2 + 4256^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4256.

It is a super-3 number, since 3×36227072³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (36227071) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1906679 + ... + 1906697.

Almost surely, 2^36227072 is an apocalyptic number.

36227072 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 36227072

36227072 is an abundant number, since it is smaller than the sum of its proper divisors (52704043).

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

36227072 is an equidigital number, since it uses as much as digits as its factorization.

36227072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 36227072 is about 6018.8929214599. The cubic root of 36227072 is about 330.8855066570.

The spelling of 36227072 in words is "thirty-six million, two hundred twenty-seven thousand, seventy-two".