73989120 has 88 divisors (see below), whose sum is σ = 236698704. Its totient is φ = 19726336.

The previous prime is 73989107. The next prime is 73989143. The reversal of 73989120 is 2198937.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12952 + ... + 17768.

It is an arithmetic number, because the mean of its divisors is an integer number (2689758).

Almost surely, 2^73989120 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 73989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118349352).

73989120 is an abundant number, since it is smaller than the sum of its proper divisors (162709584).

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

73989120 is a wasteful number, since it uses less digits than its factorization.

73989120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4845 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 73989120 is about 8601.6928566417. The cubic root of 73989120 is about 419.8130687415.

The spelling of 73989120 in words is "seventy-three million, nine hundred eighty-nine thousand, one hundred twenty".