73191040 has 128 divisors (see below), whose sum is σ = 198777600. Its totient is φ = 25546752.

The previous prime is 73191029. The next prime is 73191043. The reversal of 73191040 is 4019137.

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

It is a junction number, because it is equal to n+sod(n) for n = 73190996 and 73191014.

It is not an unprimeable number, because it can be changed into a prime (73191043) by changing a digit.

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, 157849 + ... + 158311.

It is an arithmetic number, because the mean of its divisors is an integer number (1552950).

Almost surely, 2^73191040 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 73191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99388800).

73191040 is an abundant number, since it is smaller than the sum of its proper divisors (125586560).

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

73191040 is a wasteful number, since it uses less digits than its factorization.

73191040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 73191040 is about 8555.1762109263. The cubic root of 73191040 is about 418.2981778506.

The spelling of 73191040 in words is "seventy-three million, one hundred ninety-one thousand, forty".