36553072 has 40 divisors (see below), whose sum is σ = 74995200. Its totient is φ = 17223360.

The previous prime is 36553067. The next prime is 36553073. The reversal of 36553072 is 27035563.

It is a super-2 number, since 2×36553072² = 2672254145274368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36553073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25429 + ... + 26827.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 2^36553072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36553072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37497600).

36553072 is an abundant number, since it is smaller than the sum of its proper divisors (38442128).

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

36553072 is a wasteful number, since it uses less digits than its factorization.

36553072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 31.

The square root of 36553072 is about 6045.9136613088. The cubic root of 36553072 is about 331.8750679113.

The spelling of 36553072 in words is "thirty-six million, five hundred fifty-three thousand, seventy-two".