73863120 has 80 divisors (see below), whose sum is σ = 238948992. Its totient is φ = 18839040.

The previous prime is 73863109. The next prime is 73863133. The reversal of 73863120 is 2136837.

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

It is a super-2 number, since 2×73863120² = 10911520992268800, which contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 1171 + ... + 12210.

Almost surely, 2^73863120 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 73863120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119474496).

73863120 is an abundant number, since it is smaller than the sum of its proper divisors (165085872).

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

73863120 is a wasteful number, since it uses less digits than its factorization.

73863120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13420 (or 13414 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 73863120 is about 8594.3655961333. The cubic root of 73863120 is about 419.5746260181.

Adding to 73863120 its reverse (2136837), we get a palindrome (75999957).

The spelling of 73863120 in words is "seventy-three million, eight hundred sixty-three thousand, one hundred twenty".