73369008 has 180 divisors, whose sum is σ = 228636408. Its totient is φ = 21934080.

The previous prime is 73369003. The next prime is 73369069. The reversal of 73369008 is 80096337.

It is a super-2 number, since 2×73369008² = 10766022669808128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (73369003) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1706235 + ... + 1706277.

Almost surely, 2^73369008 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 73369008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114318204).

73369008 is an abundant number, since it is smaller than the sum of its proper divisors (155267400).

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

73369008 is a wasteful number, since it uses less digits than its factorization.

73369008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 73369008 is about 8565.5710842885. The cubic root of 73369008 is about 418.6369416917.

The spelling of 73369008 in words is "seventy-three million, three hundred sixty-nine thousand, eight".