73051209 has 81 divisors (see below), whose sum is σ = 138664071. Its totient is φ = 36923040.

The previous prime is 73051201. The next prime is 73051211. The reversal of 73051209 is 90215037.

The square root of 73051209 is 8547.

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

It can be written as a sum of positive squares in only one way, i.e., 65367225 + 7683984 = 8085^2 + 2772^2 .

It is not a de Polignac number, because 73051209 - 2³ = 73051201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73051201) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1974339 + ... + 1974375.

Almost surely, 2^73051209 is an apocalyptic number.

73051209 is the 8547-th square number.

73051209 is the 4274-th centered octagonal number.

It is an amenable number.

73051209 is a deficient number, since it is larger than the sum of its proper divisors (65612862).

73051209 is a wasteful number, since it uses less digits than its factorization.

73051209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The cubic root of 73051209 is about 418.0316227230.

The spelling of 73051209 in words is "seventy-three million, fifty-one thousand, two hundred nine".