73829088 has 72 divisors (see below), whose sum is σ = 210810600. Its totient is φ = 24509184.

The previous prime is 73829083. The next prime is 73829089. The reversal of 73829088 is 88092837.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73829083) 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 11 ways as a sum of consecutive naturals, for example, 111703 + ... + 112361.

It is an arithmetic number, because the mean of its divisors is an integer number (2927925).

Almost surely, 2^73829088 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 73829088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105405300).

73829088 is an abundant number, since it is smaller than the sum of its proper divisors (136981512).

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

73829088 is a wasteful number, since it uses less digits than its factorization.

73829088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 73829088 is about 8592.3854662137. The cubic root of 73829088 is about 419.5101772683.

The spelling of 73829088 in words is "seventy-three million, eight hundred twenty-nine thousand, eighty-eight".