73205136 has 135 divisors (see below), whose sum is σ = 221298987. Its totient is φ = 22587840.

The previous prime is 73205107. The next prime is 73205141. The reversal of 73205136 is 63150237.

It is a happy number.

The square root of 73205136 is 8556.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2361441 + ... + 2361471.

Almost surely, 2^73205136 is an apocalyptic number.

73205136 is the 8556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73205136

73205136 is an abundant number, since it is smaller than the sum of its proper divisors (148093851).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73205136 is a wasteful number, since it uses less digits than its factorization.

73205136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The cubic root of 73205136 is about 418.3250297377.

It can be divided in two parts, 73 and 205136, that added together give a square (205209 = 453²).

The spelling of 73205136 in words is "seventy-three million, two hundred five thousand, one hundred thirty-six".