36633152 has 28 divisors (see below), whose sum is σ = 73699116. Its totient is φ = 18063360.

The previous prime is 36633101. The next prime is 36633161. The reversal of 36633152 is 25133663.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 16777216 + 19855936 = 4096^2 + 4456^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 752 + ... + 8592.

Almost surely, 2^36633152 is an apocalyptic number.

36633152 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 36633152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36849558).

36633152 is an abundant number, since it is smaller than the sum of its proper divisors (37065964).

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

36633152 is an equidigital number, since it uses as much as digits as its factorization.

36633152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7926 (or 7916 counting only the distinct ones).

The product of its digits is 9720, while the sum is 29.

The square root of 36633152 is about 6052.5326930137. The cubic root of 36633152 is about 332.1172470197.

The spelling of 36633152 in words is "thirty-six million, six hundred thirty-three thousand, one hundred fifty-two".