36547072 has 40 divisors (see below), whose sum is σ = 74846772. Its totient is φ = 17817600.

The previous prime is 36547039. The next prime is 36547073. The reversal of 36547072 is 27074563.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 22886656 + 13660416 = 4784^2 + 3696^2 .

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (36547073) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20122 + ... + 21862.

Almost surely, 2^36547072 is an apocalyptic number.

36547072 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 36547072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37423386).

36547072 is an abundant number, since it is smaller than the sum of its proper divisors (38299700).

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

36547072 is an equidigital number, since it uses as much as digits as its factorization.

36547072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 36547072 is about 6045.4174380269. The cubic root of 36547072 is about 331.8569083854.

The spelling of 36547072 in words is "thirty-six million, five hundred forty-seven thousand, seventy-two".