40672800 has 288 divisors, whose sum is σ = 168739200. Its totient is φ = 9262080.

The previous prime is 40672799. The next prime is 40672811. The reversal of 40672800 is 827604.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151066 + ... + 151334.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 2^40672800 is an apocalyptic number.

40672800 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 40672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84369600).

40672800 is an abundant number, since it is smaller than the sum of its proper divisors (128066400).

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

40672800 is a wasteful number, since it uses less digits than its factorization.

40672800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 40672800 is about 6377.5230301427. The cubic root of 40672800 is about 343.9019911885.

The spelling of 40672800 in words is "forty million, six hundred seventy-two thousand, eight hundred".