73829040 has 80 divisors (see below), whose sum is σ = 229890048. Its totient is φ = 19600128.

The previous prime is 73829039. The next prime is 73829047. The reversal of 73829040 is 4092837.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 73828992 and 73829010.

It is not an unprimeable number, because it can be changed into a prime (73829047) 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 15 ways as a sum of consecutive naturals, for example, 67377 + ... + 68463.

Almost surely, 2^73829040 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 73829040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114945024).

73829040 is an abundant number, since it is smaller than the sum of its proper divisors (156061008).

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

73829040 is a wasteful number, since it uses less digits than its factorization.

73829040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 73829040 is about 8592.3826730424. The cubic root of 73829040 is about 419.5100863534.

The spelling of 73829040 in words is "seventy-three million, eight hundred twenty-nine thousand, forty".