73815120 has 120 divisors (see below), whose sum is σ = 249856776. Its totient is φ = 19528704.

The previous prime is 73815113. The next prime is 73815163. The reversal of 73815120 is 2151837.

73815120 is a `hidden beast` number, since 73 + 81 + 512 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 404496 + 73410624 = 636^2 + 8568^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×73815120² = 10897343881228800, which contains 22 as substring.

It is a congruent number.

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, 112714 + ... + 113366.

Almost surely, 2^73815120 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 73815120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124928388).

73815120 is an abundant number, since it is smaller than the sum of its proper divisors (176041656).

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

73815120 is a wasteful number, since it uses less digits than its factorization.

73815120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 73815120 is about 8591.5726150688. The cubic root of 73815120 is about 419.4837193689.

Adding to 73815120 its reverse (2151837), we get a palindrome (75966957).

The spelling of 73815120 in words is "seventy-three million, eight hundred fifteen thousand, one hundred twenty".