73732120 has 128 divisors (see below), whose sum is σ = 212751360. Its totient is φ = 22325760.

The previous prime is 73732091. The next prime is 73732129. The reversal of 73732120 is 2123737.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73732129) 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, 113637 + ... + 114283.

It is an arithmetic number, because the mean of its divisors is an integer number (1662120).

Almost surely, 2^73732120 is an apocalyptic number.

73732120 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 73732120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106375680).

73732120 is an abundant number, since it is smaller than the sum of its proper divisors (139019240).

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

73732120 is a wasteful number, since it uses less digits than its factorization.

73732120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 73732120 is about 8586.7409417077. The cubic root of 73732120 is about 419.3264335866.

Adding to 73732120 its reverse (2123737), we get a palindrome (75855857).

The spelling of 73732120 in words is "seventy-three million, seven hundred thirty-two thousand, one hundred twenty".