40052736 has 144 divisors (see below), whose sum is σ = 120736980. Its totient is φ = 12779520.

The previous prime is 40052723. The next prime is 40052767. The reversal of 40052736 is 63725004.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 38937600 + 1115136 = 6240^2 + 1056^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×40052736² = 3208443322171392, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 755686 + ... + 755738.

Almost surely, 2^40052736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40052736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60368490).

40052736 is an abundant number, since it is smaller than the sum of its proper divisors (80684244).

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

40052736 is a wasteful number, since it uses less digits than its factorization.

40052736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 40052736 is about 6328.7230939582. The cubic root of 40052736 is about 342.1454188197.

The spelling of 40052736 in words is "forty million, fifty-two thousand, seven hundred thirty-six".