73127040 has 128 divisors (see below), whose sum is σ = 266440320. Its totient is φ = 16711680.

The previous prime is 73127027. The next prime is 73127057. The reversal of 73127040 is 4072137.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 73127040.

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 15 ways as a sum of consecutive naturals, for example, 10720 + ... + 16160.

It is an arithmetic number, because the mean of its divisors is an integer number (2081565).

Almost surely, 2^73127040 is an apocalyptic number.

73127040 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 73127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133220160).

73127040 is an abundant number, since it is smaller than the sum of its proper divisors (193313280).

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

73127040 is a wasteful number, since it uses less digits than its factorization.

73127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5470 (or 5458 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 73127040 is about 8551.4349673023. The cubic root of 73127040 is about 418.1762189776.

Adding to 73127040 its reverse (4072137), we get a palindrome (77199177).

The spelling of 73127040 in words is "seventy-three million, one hundred twenty-seven thousand, forty".