40672200 has 96 divisors (see below), whose sum is σ = 128563200. Its totient is φ = 10632960.

The previous prime is 40672171. The next prime is 40672207. The reversal of 40672200 is 227604.

It is a happy number.

40672200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40672207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31161 + ... + 32439.

It is an arithmetic number, because the mean of its divisors is an integer number (1339200).

Almost surely, 2^40672200 is an apocalyptic number.

40672200 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 40672200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64281600).

40672200 is an abundant number, since it is smaller than the sum of its proper divisors (87891000).

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

40672200 is a wasteful number, since it uses less digits than its factorization.

40672200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 40672200 is about 6377.4759897627. The cubic root of 40672200 is about 343.9003001139.

Adding to 40672200 its reverse (227604), we get a palindrome (40899804).

The spelling of 40672200 in words is "forty million, six hundred seventy-two thousand, two hundred".