40072073 has 8 divisors (see below), whose sum is σ = 41248392. Its totient is φ = 38900736.

The previous prime is 40072069. The next prime is 40072079. The reversal of 40072073 is 37027004.

40072073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 29626249 + 10445824 = 5443^2 + 3232^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 40072073 - 2² = 40072069 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40072079) 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 7 ways as a sum of consecutive naturals, for example, 20411 + ... + 22287.

It is an arithmetic number, because the mean of its divisors is an integer number (5156049).

Almost surely, 2^40072073 is an apocalyptic number.

It is an amenable number.

40072073 is a deficient number, since it is larger than the sum of its proper divisors (1176319).

40072073 is a wasteful number, since it uses less digits than its factorization.

40072073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491.

The product of its (nonzero) digits is 1176, while the sum is 23.

The square root of 40072073 is about 6330.2506269499. The cubic root of 40072073 is about 342.2004712513.

Adding to 40072073 its reverse (37027004), we get a palindrome (77099077).

The spelling of 40072073 in words is "forty million, seventy-two thousand, seventy-three".