73371816 has 96 divisors (see below), whose sum is σ = 231816000. Its totient is φ = 20956320.

The previous prime is 73371811. The next prime is 73371821. The reversal of 73371816 is 61817337.

It is an interprime number because it is at equal distance from previous prime (73371811) and next prime (73371821).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (73371811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23211 + ... + 26181.

It is an arithmetic number, because the mean of its divisors is an integer number (2414750).

Almost surely, 2^73371816 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 73371816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115908000).

73371816 is an abundant number, since it is smaller than the sum of its proper divisors (158444184).

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

73371816 is a wasteful number, since it uses less digits than its factorization.

73371816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3004 (or 2983 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 73371816 is about 8565.7349947334. The cubic root of 73371816 is about 418.6422823551.

The spelling of 73371816 in words is "seventy-three million, three hundred seventy-one thousand, eight hundred sixteen".