40065072 has 80 divisors (see below), whose sum is σ = 109992960. Its totient is φ = 12531456.

The previous prime is 40065059. The next prime is 40065079. The reversal of 40065072 is 27056004.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (40065079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179553 + ... + 179775.

It is an arithmetic number, because the mean of its divisors is an integer number (1374912).

Almost surely, 2^40065072 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 40065072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54996480).

40065072 is an abundant number, since it is smaller than the sum of its proper divisors (69927888).

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

40065072 is a wasteful number, since it uses less digits than its factorization.

40065072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 40065072 is about 6329.6976231097. The cubic root of 40065072 is about 342.1805414527.

The spelling of 40065072 in words is "forty million, sixty-five thousand, seventy-two".