36735552 has 112 divisors (see below), whose sum is σ = 123464320. Its totient is φ = 10492416.

The previous prime is 36735541. The next prime is 36735557. The reversal of 36735552 is 25553763.

36735552 is a `hidden beast` number, since 36 + 73 + 5 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is not an unprimeable number, because it can be changed into a prime (36735557) 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 15 ways as a sum of consecutive naturals, for example, 10578 + ... + 13614.

It is an arithmetic number, because the mean of its divisors is an integer number (1102360).

Almost surely, 2^36735552 is an apocalyptic number.

36735552 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 36735552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61732160).

36735552 is an abundant number, since it is smaller than the sum of its proper divisors (86728768).

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

36735552 is a wasteful number, since it uses less digits than its factorization.

36735552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3065 (or 3049 counting only the distinct ones).

The product of its digits is 94500, while the sum is 36.

The square root of 36735552 is about 6060.9860583902. The cubic root of 36735552 is about 332.4264129463.

The spelling of 36735552 in words is "thirty-six million, seven hundred thirty-five thousand, five hundred fifty-two".