73957120 has 72 divisors (see below), whose sum is σ = 186535440. Its totient is φ = 28016640.

The previous prime is 73957111. The next prime is 73957133. The reversal of 73957120 is 2175937.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 22800 + ... + 25840.

It is an arithmetic number, because the mean of its divisors is an integer number (2590770).

Almost surely, 2^73957120 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 73957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93267720).

73957120 is an abundant number, since it is smaller than the sum of its proper divisors (112578320).

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

73957120 is a wasteful number, since it uses less digits than its factorization.

73957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 34.

The square root of 73957120 is about 8599.8325565095. The cubic root of 73957120 is about 419.7525375202.

The spelling of 73957120 in words is "seventy-three million, nine hundred fifty-seven thousand, one hundred twenty".