73208380 has 48 divisors (see below), whose sum is σ = 178698240. Its totient is φ = 24671808.

The previous prime is 73208371. The next prime is 73208389. The reversal of 73208380 is 8380237.

It is an interprime number because it is at equal distance from previous prime (73208371) and next prime (73208389).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73208389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3829 + ... + 12691.

It is an arithmetic number, because the mean of its divisors is an integer number (3722880).

Almost surely, 2^73208380 is an apocalyptic number.

73208380 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 73208380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89349120).

73208380 is an abundant number, since it is smaller than the sum of its proper divisors (105489860).

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

73208380 is a wasteful number, since it uses less digits than its factorization.

73208380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8938 (or 8936 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 73208380 is about 8556.1895724674. The cubic root of 73208380 is about 418.3312088413.

The spelling of 73208380 in words is "seventy-three million, two hundred eight thousand, three hundred eighty".