73161288 has 48 divisors (see below), whose sum is σ = 199618380. Its totient is φ = 24205824.

The previous prime is 73161259. The next prime is 73161289. The reversal of 73161288 is 88216137.

73161288 is a `hidden beast` number, since 7 + 31 + 612 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69856164 + 3305124 = 8358^2 + 1818^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73161289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6156 + ... + 13572.

Almost surely, 2^73161288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73161288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99809190).

73161288 is an abundant number, since it is smaller than the sum of its proper divisors (126457092).

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

73161288 is a wasteful number, since it uses less digits than its factorization.

73161288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7566 (or 7559 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 73161288 is about 8553.4372038380. The cubic root of 73161288 is about 418.2414910663.

The spelling of 73161288 in words is "seventy-three million, one hundred sixty-one thousand, two hundred eighty-eight".