73057920 has 128 divisors (see below), whose sum is σ = 250871040. Its totient is φ = 17977344.

The previous prime is 73057883. The next prime is 73057927. The reversal of 73057920 is 2975037.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (73057927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23497 + ... + 26423.

It is an arithmetic number, because the mean of its divisors is an integer number (1959930).

Almost surely, 2^73057920 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 73057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125435520).

73057920 is an abundant number, since it is smaller than the sum of its proper divisors (177813120).

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

73057920 is a wasteful number, since it uses less digits than its factorization.

73057920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 73057920 is about 8547.3925848764. The cubic root of 73057920 is about 418.0444234435.

It can be divided in two parts, 7305 and 7920, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 73057920 in words is "seventy-three million, fifty-seven thousand, nine hundred twenty".