73172160 has 168 divisors, whose sum is σ = 261280656. Its totient is φ = 19491840.

The previous prime is 73172153. The next prime is 73172161. The reversal of 73172160 is 6127137.

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

It is not an unprimeable number, because it can be changed into a prime (73172161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77290 + ... + 78230.

It is an arithmetic number, because the mean of its divisors is an integer number (1555242).

Almost surely, 2^73172160 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 73172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130640328).

73172160 is an abundant number, since it is smaller than the sum of its proper divisors (188108496).

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

73172160 is an equidigital number, since it uses as much as digits as its factorization.

73172160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 73172160 is about 8554.0727142105. The cubic root of 73172160 is about 418.2622073786.

Adding to 73172160 its reverse (6127137), we get a palindrome (79299297).

The spelling of 73172160 in words is "seventy-three million, one hundred seventy-two thousand, one hundred sixty".