75742209 has 15 divisors (see below), whose sum is σ = 113262897. Its totient is φ = 50442588.

The previous prime is 75742169. The next prime is 75742217. The reversal of 75742209 is 90224757.

The square root of 75742209 is 8703.

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

It is not a de Polignac number, because 75742209 - 2⁷ = 75742081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (75742309) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 77844 + ... + 78810.

Almost surely, 2^75742209 is an apocalyptic number.

75742209 is the 8703-rd square number.

75742209 is the 4352-nd centered octagonal number.

It is an amenable number.

75742209 is a deficient number, since it is larger than the sum of its proper divisors (37520688).

75742209 is an frugal number, since it uses more digits than its factorization.

75742209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The cubic root of 75742209 is about 423.1028873008.

Multiplying 75742209 by its sum of digits (36), we get a square (2726719524 = 52218²).

The spelling of 75742209 in words is "seventy-five million, seven hundred forty-two thousand, two hundred nine".