36728700 has 72 divisors (see below), whose sum is σ = 110909568. Its totient is φ = 9366720.

The previous prime is 36728693. The next prime is 36728711. The reversal of 36728700 is 782763.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4239 + ... + 9561.

Almost surely, 2^36728700 is an apocalyptic number.

36728700 is a gapful number since it is divisible by the number (30) 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 36728700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55454784).

36728700 is an abundant number, since it is smaller than the sum of its proper divisors (74180868).

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

36728700 is a wasteful number, since it uses less digits than its factorization.

36728700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5363 (or 5356 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 36728700 is about 6060.4207774708. The cubic root of 36728700 is about 332.4057433470.

The spelling of 36728700 in words is "thirty-six million, seven hundred twenty-eight thousand, seven hundred".