75729105 has 24 divisors (see below), whose sum is σ = 133067688. Its totient is φ = 39833856.

The previous prime is 75729089. The next prime is 75729109. The reversal of 75729105 is 50192757.

It can be written as a sum of positive squares in 4 ways, for example, as 17114769 + 58614336 = 4137^2 + 7656^2 .

It is not a de Polignac number, because 75729105 - 2⁴ = 75729089 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 75729105.

It is not an unprimeable number, because it can be changed into a prime (75729109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8242 + ... + 14811.

It is an arithmetic number, because the mean of its divisors is an integer number (5544487).

Almost surely, 2^75729105 is an apocalyptic number.

It is an amenable number.

75729105 is a deficient number, since it is larger than the sum of its proper divisors (57338583).

75729105 is a wasteful number, since it uses less digits than its factorization.

75729105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23137 (or 23134 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 75729105 is about 8702.2471235883. The cubic root of 75729105 is about 423.0784858472.

The spelling of 75729105 in words is "seventy-five million, seven hundred twenty-nine thousand, one hundred five".