36087552 has 144 divisors (see below), whose sum is σ = 111847680. Its totient is φ = 11455488.

The previous prime is 36087551. The next prime is 36087559. The reversal of 36087552 is 25578063.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×36087552² = 2604622818705408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36087551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158863 + ... + 159089.

It is an arithmetic number, because the mean of its divisors is an integer number (776720).

Almost surely, 2^36087552 is an apocalyptic number.

36087552 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 36087552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55923840).

36087552 is an abundant number, since it is smaller than the sum of its proper divisors (75760128).

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

36087552 is a wasteful number, since it uses less digits than its factorization.

36087552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 36087552 is about 6007.2915694180. The cubic root of 36087552 is about 330.4601844216.

The spelling of 36087552 in words is "thirty-six million, eighty-seven thousand, five hundred fifty-two".