73120320 has 560 divisors, whose sum is σ = 330451968. Its totient is φ = 14929920.

The previous prime is 73120319. The next prime is 73120321. The reversal of 73120320 is 2302137.

It is an interprime number because it is at equal distance from previous prime (73120319) and next prime (73120321).

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 73120293 and 73120302.

It is not an unprimeable number, because it can be changed into a prime (73120321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2358705 + ... + 2358735.

Almost surely, 2^73120320 is an apocalyptic number.

73120320 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 73120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165225984).

73120320 is an abundant number, since it is smaller than the sum of its proper divisors (257331648).

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

73120320 is a wasteful number, since it uses less digits than its factorization.

73120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 73120320 is about 8551.0420417631. The cubic root of 73120320 is about 418.1634091684.

Adding to 73120320 its reverse (2302137), we get a palindrome (75422457).

The spelling of 73120320 in words is "seventy-three million, one hundred twenty thousand, three hundred twenty".