73384680 has 64 divisors (see below), whose sum is σ = 222969600. Its totient is φ = 19319040.

The previous prime is 73384673. The next prime is 73384687. The reversal of 73384680 is 8648337.

It is an interprime number because it is at equal distance from previous prime (73384673) and next prime (73384687).

It is a super-2 number, since 2×73384680² = 10770622517404800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (73384687) 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, 5610 + ... + 13350.

It is an arithmetic number, because the mean of its divisors is an integer number (3483900).

Almost surely, 2^73384680 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 73384680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111484800).

73384680 is an abundant number, since it is smaller than the sum of its proper divisors (149584920).

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

73384680 is a wasteful number, since it uses less digits than its factorization.

73384680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7834 (or 7830 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 73384680 is about 8566.4858606082. The cubic root of 73384680 is about 418.6667472424. Note that the first 3 decimals are identical.

The spelling of 73384680 in words is "seventy-three million, three hundred eighty-four thousand, six hundred eighty".