73142160 has 320 divisors, whose sum is σ = 296980992. Its totient is φ = 14450688.

The previous prime is 73142149. The next prime is 73142189. The reversal of 73142160 is 6124137.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 73142160.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 371182 + ... + 371378.

Almost surely, 2^73142160 is an apocalyptic number.

73142160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73142160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148490496).

73142160 is an abundant number, since it is smaller than the sum of its proper divisors (223838832).

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

73142160 is a wasteful number, since it uses less digits than its factorization.

73142160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 73142160 is about 8552.3189837611. The cubic root of 73142160 is about 418.2050381791.

Adding to 73142160 its reverse (6124137), we get a palindrome (79266297).

The spelling of 73142160 in words is "seventy-three million, one hundred forty-two thousand, one hundred sixty".