40072305 has 64 divisors (see below), whose sum is σ = 81543168. Its totient is φ = 16346880.

The previous prime is 40072301. The next prime is 40072309. The reversal of 40072305 is 50327004.

It is a happy number.

40072305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40072301) and next prime (40072309).

It is not a de Polignac number, because 40072305 - 2² = 40072301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (40072301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41842 + ... + 42788.

It is an arithmetic number, because the mean of its divisors is an integer number (1274112).

Almost surely, 2^40072305 is an apocalyptic number.

It is an amenable number.

40072305 is an abundant number, since it is smaller than the sum of its proper divisors (41470863).

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

40072305 is a wasteful number, since it uses less digits than its factorization.

40072305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006.

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 40072305 is about 6330.2689516323. The cubic root of 40072305 is about 342.2011316477.

Adding to 40072305 its reverse (50327004), we get a palindrome (90399309).

The spelling of 40072305 in words is "forty million, seventy-two thousand, three hundred five".