73507140 has 144 divisors (see below), whose sum is σ = 256943232. Its totient is φ = 16662528.

The previous prime is 73507139. The next prime is 73507151. The reversal of 73507140 is 4170537.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285892 + ... + 286148.

It is an arithmetic number, because the mean of its divisors is an integer number (1784328).

Almost surely, 2^73507140 is an apocalyptic number.

73507140 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73507140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128471616).

73507140 is an abundant number, since it is smaller than the sum of its proper divisors (183436092).

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

73507140 is a wasteful number, since it uses less digits than its factorization.

73507140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 501 counting only the distinct ones).

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

The square root of 73507140 is about 8573.6305028850. The cubic root of 73507140 is about 418.8994998984.

Adding to 73507140 its reverse (4170537), we get a palindrome (77677677).

The spelling of 73507140 in words is "seventy-three million, five hundred seven thousand, one hundred forty".