73418160 has 80 divisors (see below), whose sum is σ = 228422880. Its totient is φ = 19507200.

The previous prime is 73418153. The next prime is 73418179. The reversal of 73418160 is 6181437.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121860 + ... + 122460.

It is an arithmetic number, because the mean of its divisors is an integer number (2855286).

Almost surely, 2^73418160 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 73418160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114211440).

73418160 is an abundant number, since it is smaller than the sum of its proper divisors (155004720).

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

73418160 is a wasteful number, since it uses less digits than its factorization.

73418160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 73418160 is about 8568.4397646246. The cubic root of 73418160 is about 418.7304064494.

Adding to 73418160 its reverse (6181437), we get a palindrome (79599597).

The spelling of 73418160 in words is "seventy-three million, four hundred eighteen thousand, one hundred sixty".