40372800 has 168 divisors, whose sum is σ = 142865856. Its totient is φ = 9922560.

The previous prime is 40372729. The next prime is 40372817. The reversal of 40372800 is 827304.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 62077 + ... + 62723.

It is an arithmetic number, because the mean of its divisors is an integer number (850392).

Almost surely, 2^40372800 is an apocalyptic number.

40372800 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 40372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71432928).

40372800 is an abundant number, since it is smaller than the sum of its proper divisors (102493056).

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

40372800 is a wasteful number, since it uses less digits than its factorization.

40372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 40372800 is about 6353.9593955265. The cubic root of 40372800 is about 343.0543706504.

The spelling of 40372800 in words is "forty million, three hundred seventy-two thousand, eight hundred".