36724200 has 96 divisors (see below), whose sum is σ = 115200960. Its totient is φ = 9676800.

The previous prime is 36724189. The next prime is 36724201. The reversal of 36724200 is 242763.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36724201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57885 + ... + 58515.

It is an arithmetic number, because the mean of its divisors is an integer number (1200010).

Almost surely, 2^36724200 is an apocalyptic number.

36724200 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 36724200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57600480).

36724200 is an abundant number, since it is smaller than the sum of its proper divisors (78476760).

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

36724200 is a wasteful number, since it uses less digits than its factorization.

36724200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 36724200 is about 6060.0495047483. The cubic root of 36724200 is about 332.3921673430.

Adding to 36724200 its reverse (242763), we get a palindrome (36966963).

The spelling of 36724200 in words is "thirty-six million, seven hundred twenty-four thousand, two hundred".