73564929 has 15 divisors (see below), whose sum is σ = 110008723. Its totient is φ = 48991824.

The previous prime is 73564919. The next prime is 73564937. The reversal of 73564929 is 92946537.

It is a happy number.

The square root of 73564929 is 8577.

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., 30636225 + 42928704 = 5535^2 + 6552^2 .

It is not a de Polignac number, because 73564929 - 2¹⁵ = 73532161 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (73564919) 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, 76717 + ... + 77669.

Almost surely, 2^73564929 is an apocalyptic number.

73564929 is the 8577-th square number.

73564929 is the 4289-th centered octagonal number.

It is an amenable number.

73564929 is a deficient number, since it is larger than the sum of its proper divisors (36443794).

73564929 is an frugal number, since it uses more digits than its factorization.

73564929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 956 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The cubic root of 73564929 is about 419.0092463446.

The spelling of 73564929 in words is "seventy-three million, five hundred sixty-four thousand, nine hundred twenty-nine".