73829280 has 288 divisors, whose sum is σ = 280615104. Its totient is φ = 16257024.

The previous prime is 73829263. The next prime is 73829281. The reversal of 73829280 is 8292837.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73829281) 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 47 ways as a sum of consecutive naturals, for example, 1011324 + ... + 1011396.

It is an arithmetic number, because the mean of its divisors is an integer number (974358).

Almost surely, 2^73829280 is an apocalyptic number.

73829280 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 73829280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140307552).

73829280 is an abundant number, since it is smaller than the sum of its proper divisors (206785824).

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

73829280 is a wasteful number, since it uses less digits than its factorization.

73829280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 73829280 is about 8592.3966388895. The cubic root of 73829280 is about 419.5105409275.

The spelling of 73829280 in words is "seventy-three million, eight hundred twenty-nine thousand, two hundred eighty".