73791120 has 160 divisors (see below), whose sum is σ = 250733952. Its totient is φ = 17842176.

The previous prime is 73791119. The next prime is 73791127. The reversal of 73791120 is 2119737.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73791127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 208864 + ... + 209216.

Almost surely, 2^73791120 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 73791120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125366976).

73791120 is an abundant number, since it is smaller than the sum of its proper divisors (176942832).

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

73791120 is a wasteful number, since it uses less digits than its factorization.

73791120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 73791120 is about 8590.1757839988. The cubic root of 73791120 is about 419.4382512653.

The spelling of 73791120 in words is "seventy-three million, seven hundred ninety-one thousand, one hundred twenty".