36736728 has 128 divisors (see below), whose sum is σ = 117158400. Its totient is φ = 9345024.

The previous prime is 36736691. The next prime is 36736741. The reversal of 36736728 is 82763763.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 36736728.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 53926 + ... + 54602.

It is an arithmetic number, because the mean of its divisors is an integer number (915300).

Almost surely, 2^36736728 is an apocalyptic number.

36736728 is a gapful number since it is divisible by the number (38) 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 36736728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58579200).

36736728 is an abundant number, since it is smaller than the sum of its proper divisors (80421672).

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

36736728 is a wasteful number, since it uses less digits than its factorization.

36736728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 725 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 36736728 is about 6061.0830715310. The cubic root of 36736728 is about 332.4299601848.

It can be divided in two parts, 3673 and 6728, that added together give a palindrome (10401).

The spelling of 36736728 in words is "thirty-six million, seven hundred thirty-six thousand, seven hundred twenty-eight".