36756032 has 56 divisors (see below), whose sum is σ = 77663040. Its totient is φ = 17210880.

The previous prime is 36756007. The next prime is 36756037. The reversal of 36756032 is 23065763.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 36756032.

It is not an unprimeable number, because it can be changed into a prime (36756037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202982 + ... + 203162.

It is an arithmetic number, because the mean of its divisors is an integer number (1386840).

Almost surely, 2^36756032 is an apocalyptic number.

36756032 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 36756032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38831520).

36756032 is an abundant number, since it is smaller than the sum of its proper divisors (40907008).

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

36756032 is a wasteful number, since it uses less digits than its factorization.

36756032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 32.

The square root of 36756032 is about 6062.6753170527. The cubic root of 36756032 is about 332.4881771664.

The spelling of 36756032 in words is "thirty-six million, seven hundred fifty-six thousand, thirty-two".