40573728 has 72 divisors (see below), whose sum is σ = 124268508. Its totient is φ = 12483072.

The previous prime is 40573727. The next prime is 40573733. The reversal of 40573728 is 82737504.

It can be written as a sum of positive squares in 2 ways, for example, as 35856144 + 4717584 = 5988^2 + 2172^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40573692 and 40573701.

It is not an unprimeable number, because it can be changed into a prime (40573727) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1675 + ... + 9162.

Almost surely, 2^40573728 is an apocalyptic number.

40573728 is a gapful number since it is divisible by the number (48) 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 40573728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62134254).

40573728 is an abundant number, since it is smaller than the sum of its proper divisors (83694780).

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

40573728 is a wasteful number, since it uses less digits than its factorization.

40573728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10866 (or 10855 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 40573728 is about 6369.7510155421. The cubic root of 40573728 is about 343.6225353086.

The spelling of 40573728 in words is "forty million, five hundred seventy-three thousand, seven hundred twenty-eight".