73713120 has 96 divisors (see below), whose sum is σ = 250078752. Its totient is φ = 18143232.

The previous prime is 73713119. The next prime is 73713127. The reversal of 73713120 is 2131737.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73713127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334 + ... + 12146.

It is an arithmetic number, because the mean of its divisors is an integer number (2604987).

Almost surely, 2^73713120 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 73713120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125039376).

73713120 is an abundant number, since it is smaller than the sum of its proper divisors (176365632).

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

73713120 is a wasteful number, since it uses less digits than its factorization.

73713120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11844 (or 11836 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 73713120 is about 8585.6345135348. The cubic root of 73713120 is about 419.2904118063.

Adding to 73713120 its reverse (2131737), we get a palindrome (75844857).

The spelling of 73713120 in words is "seventy-three million, seven hundred thirteen thousand, one hundred twenty".