40327200 has 144 divisors (see below), whose sum is σ = 145928160. Its totient is φ = 10748160.

The previous prime is 40327193. The next prime is 40327201. The reversal of 40327200 is 272304.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40327201) 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, 20667 + ... + 22533.

It is an arithmetic number, because the mean of its divisors is an integer number (1013390).

Almost surely, 2^40327200 is an apocalyptic number.

40327200 is a gapful number since it is divisible by the number (40) 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 40327200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72964080).

40327200 is an abundant number, since it is smaller than the sum of its proper divisors (105600960).

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

40327200 is a wasteful number, since it uses less digits than its factorization.

40327200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 40327200 is about 6350.3700679567. The cubic root of 40327200 is about 342.9251650751.

Adding to 40327200 its reverse (272304), we get a palindrome (40599504).

The spelling of 40327200 in words is "forty million, three hundred twenty-seven thousand, two hundred".