73361408 has 48 divisors (see below), whose sum is σ = 148451940. Its totient is φ = 36241408.

The previous prime is 73361401. The next prime is 73361419. The reversal of 73361408 is 80416337.

It can be written as a sum of positive squares in 2 ways, for example, as 50013184 + 23348224 = 7072^2 + 4832^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (73361401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 231266 + ... + 231582.

Almost surely, 2^73361408 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 73361408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74225970).

73361408 is an abundant number, since it is smaller than the sum of its proper divisors (75090532).

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

73361408 is a wasteful number, since it uses less digits than its factorization.

73361408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 73361408 is about 8565.1274362966. The cubic root of 73361408 is about 418.6224862211.

The spelling of 73361408 in words is "seventy-three million, three hundred sixty-one thousand, four hundred eight".