73306064 has 40 divisors (see below), whose sum is σ = 153818280. Its totient is φ = 33643008.

The previous prime is 73306033. The next prime is 73306069. The reversal of 73306064 is 46060337.

It can be written as a sum of positive squares in 4 ways, for example, as 37210000 + 36096064 = 6100^2 + 6008^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73306069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40082 + ... + 41870.

It is an arithmetic number, because the mean of its divisors is an integer number (3845457).

Almost surely, 2^73306064 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 73306064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76909140).

73306064 is an abundant number, since it is smaller than the sum of its proper divisors (80512216).

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

73306064 is a wasteful number, since it uses less digits than its factorization.

73306064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 29.

The square root of 73306064 is about 8561.8960516932. The cubic root of 73306064 is about 418.5171898443.

The spelling of 73306064 in words is "seventy-three million, three hundred six thousand, sixty-four".