73814160 has 160 divisors (see below), whose sum is σ = 266768640. Its totient is φ = 16533504.

The previous prime is 73814137. The next prime is 73814161. The reversal of 73814160 is 6141837.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73814161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88626 + ... + 89454.

It is an arithmetic number, because the mean of its divisors is an integer number (1667304).

Almost surely, 2^73814160 is an apocalyptic number.

73814160 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 73814160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133384320).

73814160 is an abundant number, since it is smaller than the sum of its proper divisors (192954480).

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

73814160 is a wasteful number, since it uses less digits than its factorization.

73814160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 899 counting only the distinct ones).

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

The square root of 73814160 is about 8591.5167461863. The cubic root of 73814160 is about 419.4819008340.

Adding to 73814160 its reverse (6141837), we get a palindrome (79955997).

The spelling of 73814160 in words is "seventy-three million, eight hundred fourteen thousand, one hundred sixty".