36243072 has 64 divisors (see below), whose sum is σ = 106977600. Its totient is φ = 12079872.

The previous prime is 36243071. The next prime is 36243073. The reversal of 36243072 is 27034263.

36243072 is a `hidden beast` number, since 3 + 624 + 30 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (36243071) and next prime (36243073).

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36243071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1788 + ... + 8699.

It is an arithmetic number, because the mean of its divisors is an integer number (1671525).

Almost surely, 2^36243072 is an apocalyptic number.

36243072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

36243072 is an abundant number, since it is smaller than the sum of its proper divisors (70734528).

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

36243072 is a wasteful number, since it uses less digits than its factorization.

36243072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10510 (or 10492 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 36243072 is about 6020.2219228198. The cubic root of 36243072 is about 330.9342123035.

It can be divided in two parts, 362 and 43072, that added together give a palindrome (43434).

The spelling of 36243072 in words is "thirty-six million, two hundred forty-three thousand, seventy-two".