36200472 has 128 divisors (see below), whose sum is σ = 118886400. Its totient is φ = 8899200.

The previous prime is 36200441. The next prime is 36200473. The reversal of 36200472 is 27400263.

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 (36200473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34597 + ... + 35627.

It is an arithmetic number, because the mean of its divisors is an integer number (928800).

Almost surely, 2^36200472 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 36200472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59443200).

36200472 is an abundant number, since it is smaller than the sum of its proper divisors (82685928).

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

36200472 is a wasteful number, since it uses less digits than its factorization.

36200472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1073 counting only the distinct ones).

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

The square root of 36200472 is about 6016.6828069959. The cubic root of 36200472 is about 330.8045017706.

The spelling of 36200472 in words is "thirty-six million, two hundred thousand, four hundred seventy-two".