73190880 has 288 divisors, whose sum is σ = 292953024. Its totient is φ = 16293888.

The previous prime is 73190849. The next prime is 73190881. The reversal of 73190880 is 8809137.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73190881) 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 47 ways as a sum of consecutive naturals, for example, 534172 + ... + 534308.

It is an arithmetic number, because the mean of its divisors is an integer number (1017198).

Almost surely, 2^73190880 is an apocalyptic number.

73190880 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 73190880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146476512).

73190880 is an abundant number, since it is smaller than the sum of its proper divisors (219762144).

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

73190880 is a wasteful number, since it uses less digits than its factorization.

73190880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 73190880 is about 8555.1668598573. The cubic root of 73190880 is about 418.2978730421.

The spelling of 73190880 in words is "seventy-three million, one hundred ninety thousand, eight hundred eighty".