73229040 has 240 divisors, whose sum is σ = 266366880. Its totient is φ = 17971200.

The previous prime is 73229029. The next prime is 73229071. The reversal of 73229040 is 4092237.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 73228995 and 73229013.

It is a congruent number.

It is an unprimeable number.

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, 724990 + ... + 725090.

It is an arithmetic number, because the mean of its divisors is an integer number (1109862).

Almost surely, 2^73229040 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 73229040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133183440).

73229040 is an abundant number, since it is smaller than the sum of its proper divisors (193137840).

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

73229040 is a wasteful number, since it uses less digits than its factorization.

73229040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 73229040 is about 8557.3968004294. The cubic root of 73229040 is about 418.3705572960.

The spelling of 73229040 in words is "seventy-three million, two hundred twenty-nine thousand, forty".