73831680 has 432 divisors, whose sum is σ = 301326480. Its totient is φ = 16515072.

The previous prime is 73831673. The next prime is 73831691. The reversal of 73831680 is 8613837.

It can be written as a sum of positive squares in 8 ways, for example, as 831744 + 72999936 = 912^2 + 8544^2 .

It is a super-2 number, since 2×73831680² = 10902233943244800, which contains 22 as substring.

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

It is a congruent number.

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, 2545906 + ... + 2545934.

It is an arithmetic number, because the mean of its divisors is an integer number (697515).

Almost surely, 2^73831680 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 73831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150663240).

73831680 is an abundant number, since it is smaller than the sum of its proper divisors (227494800).

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

73831680 is a wasteful number, since it uses less digits than its factorization.

73831680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 73831680 is about 8592.5362961119. The cubic root of 73831680 is about 419.5150866145.

The spelling of 73831680 in words is "seventy-three million, eight hundred thirty-one thousand, six hundred eighty".