73057140 has 120 divisors (see below), whose sum is σ = 246883560. Its totient is φ = 17978112.

The previous prime is 73057123. The next prime is 73057151. The reversal of 73057140 is 4175037.

It can be written as a sum of positive squares in 4 ways, for example, as 2396304 + 70660836 = 1548^2 + 8406^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19326 + ... + 22794.

It is an arithmetic number, because the mean of its divisors is an integer number (2057363).

Almost surely, 2^73057140 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 73057140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123441780).

73057140 is an abundant number, since it is smaller than the sum of its proper divisors (173826420).

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

73057140 is a wasteful number, since it uses less digits than its factorization.

73057140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503 (or 3492 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 73057140 is about 8547.3469568048. The cubic root of 73057140 is about 418.0429356933.

The spelling of 73057140 in words is "seventy-three million, fifty-seven thousand, one hundred forty".