73329480 has 144 divisors (see below), whose sum is σ = 277297020. Its totient is φ = 16756992.

The previous prime is 73329467. The next prime is 73329481. The reversal of 73329480 is 8492337.

It can be written as a sum of positive squares in 2 ways, for example, as 72692676 + 636804 = 8526^2 + 798^2 .

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 (73329481) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15562 + ... + 19718.

Almost surely, 2^73329480 is an apocalyptic number.

73329480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73329480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138648510).

73329480 is an abundant number, since it is smaller than the sum of its proper divisors (203967540).

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

73329480 is a wasteful number, since it uses less digits than its factorization.

73329480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4188 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 73329480 is about 8563.2633966263. The cubic root of 73329480 is about 418.5617471187.

The spelling of 73329480 in words is "seventy-three million, three hundred twenty-nine thousand, four hundred eighty".