40371072 has 128 divisors (see below), whose sum is σ = 128079360. Its totient is φ = 11016192.

The previous prime is 40371047. The next prime is 40371113. The reversal of 40371072 is 27017304.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 61498 + ... + 62150.

It is an arithmetic number, because the mean of its divisors is an integer number (1000620).

Almost surely, 2^40371072 is an apocalyptic number.

40371072 is a gapful number since it is divisible by the number (42) 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 40371072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64039680).

40371072 is an abundant number, since it is smaller than the sum of its proper divisors (87708288).

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

40371072 is a wasteful number, since it uses less digits than its factorization.

40371072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 40371072 is about 6353.8234158654. The cubic root of 40371072 is about 343.0494762131.

Adding to 40371072 its reverse (27017304), we get a palindrome (67388376).

The spelling of 40371072 in words is "forty million, three hundred seventy-one thousand, seventy-two".