73636564 has 12 divisors (see below), whose sum is σ = 129272724. Its totient is φ = 36701504.

The previous prime is 73636561. The next prime is 73636601. The reversal of 73636564 is 46563637.

73636564 = T₇₀₀₅ + T₇₀₀₆ + T₇₀₀₇.

It can be written as a sum of positive squares in 2 ways, for example, as 3579664 + 70056900 = 1892^2 + 8370^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73636561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27769 + ... + 30304.

It is an arithmetic number, because the mean of its divisors is an integer number (10772727).

Almost surely, 2^73636564 is an apocalyptic number.

73636564 is the 7007-th centered triangular number.

It is an amenable number.

73636564 is a deficient number, since it is larger than the sum of its proper divisors (55636160).

73636564 is a wasteful number, since it uses less digits than its factorization.

73636564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58394 (or 58392 counting only the distinct ones).

The product of its digits is 272160, while the sum is 40.

The square root of 73636564 is about 8581.1749778221. The cubic root of 73636564 is about 419.1452078246.

The spelling of 73636564 in words is "seventy-three million, six hundred thirty-six thousand, five hundred sixty-four".