36768752 has 40 divisors (see below), whose sum is σ = 74474400. Its totient is φ = 17563392.

The previous prime is 36768737. The next prime is 36768757. The reversal of 36768752 is 25786763.

It is a super-2 number, since 2×36768752² = 2703882247275008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36768757) 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, 50213 + ... + 50939.

It is an arithmetic number, because the mean of its divisors is an integer number (1861860).

Almost surely, 2^36768752 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 36768752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37237200).

36768752 is an abundant number, since it is smaller than the sum of its proper divisors (37705648).

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

36768752 is a wasteful number, since it uses less digits than its factorization.

36768752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 867 counting only the distinct ones).

The product of its digits is 423360, while the sum is 44.

The square root of 36768752 is about 6063.7242681375. The cubic root of 36768752 is about 332.5265269883.

The spelling of 36768752 in words is "thirty-six million, seven hundred sixty-eight thousand, seven hundred fifty-two".