73161144 has 120 divisors (see below), whose sum is σ = 236051640. Its totient is φ = 20738592.

The previous prime is 73161139. The next prime is 73161163. The reversal of 73161144 is 44116137.

It is a happy number.

73161144 is a `hidden beast` number, since 7 + 3 + 1 + 611 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 576009 + ... + 576135.

It is an arithmetic number, because the mean of its divisors is an integer number (1967097).

Almost surely, 2^73161144 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 73161144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118025820).

73161144 is an abundant number, since it is smaller than the sum of its proper divisors (162890496).

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

73161144 is a wasteful number, since it uses less digits than its factorization.

73161144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 139 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 73161144 is about 8553.4287861652. The cubic root of 73161144 is about 418.2412166643.

Multiplying 73161144 by its product of digits (2016), we get a square (147492866304 = 384048²).

The spelling of 73161144 in words is "seventy-three million, one hundred sixty-one thousand, one hundred forty-four".