74391090750729 has 27 divisors (see below), whose sum is σ = 107725413380949. Its totient is φ = 49469014859040.

The previous prime is 74391090750721. The next prime is 74391090750773. The reversal of 74391090750729 is 92705709019347.

The square root of 74391090750729 is 8625027.

It is a perfect power (a square), and thus also a powerful number.

74391090750729 is a `hidden beast` number, since 7 + 4 + 3 + 9 + 10 + 90 + 7 + 507 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28983978040329 + 45407112710400 = 5383677^2 + 6738480^2 .

It is not a de Polignac number, because 74391090750729 - 2³ = 74391090750721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (74391090750721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10893405687 + ... + 10893412515.

Almost surely, 2^{74391090750729} is an apocalyptic number.

74391090750729 is the 8625027-th square number.

74391090750729 is the 4312514-th centered octagonal number.

It is an amenable number.

74391090750729 is a deficient number, since it is larger than the sum of its proper divisors (33334322630220).

74391090750729 is an frugal number, since it uses more digits than its factorization.

74391090750729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14506 (or 7253 counting only the distinct ones).

The product of its (nonzero) digits is 30005640, while the sum is 63.

The spelling of 74391090750729 in words is "seventy-four trillion, three hundred ninety-one billion, ninety million, seven hundred fifty thousand, seven hundred twenty-nine".