73413120 has 240 divisors, whose sum is σ = 261233280. Its totient is φ = 17571840.

The previous prime is 73413113. The next prime is 73413133. The reversal of 73413120 is 2131437.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 929241 + ... + 929319.

It is an arithmetic number, because the mean of its divisors is an integer number (1088472).

Almost surely, 2^73413120 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 73413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130616640).

73413120 is an abundant number, since it is smaller than the sum of its proper divisors (187820160).

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

73413120 is a wasteful number, since it uses less digits than its factorization.

73413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 73413120 is about 8568.1456570252. The cubic root of 73413120 is about 418.7208245805.

Adding to 73413120 its reverse (2131437), we get a palindrome (75544557).

The spelling of 73413120 in words is "seventy-three million, four hundred thirteen thousand, one hundred twenty".