73684512 has 96 divisors (see below), whose sum is σ = 234480960. Its totient is φ = 22325760.

The previous prime is 73684463. The next prime is 73684517. The reversal of 73684512 is 21548637.

It is a tau number, because it is divible by the number of its divisors (96).

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 (73684517) 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, 5628 + ... + 13380.

It is an arithmetic number, because the mean of its divisors is an integer number (2442510).

Almost surely, 2^73684512 is an apocalyptic number.

73684512 is a gapful number since it is divisible by the number (72) 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 73684512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117240480).

73684512 is an abundant number, since it is smaller than the sum of its proper divisors (160796448).

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

73684512 is a wasteful number, since it uses less digits than its factorization.

73684512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7783 (or 7769 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 73684512 is about 8583.9683130822. The cubic root of 73684512 is about 419.2361627020.

The spelling of 73684512 in words is "seventy-three million, six hundred eighty-four thousand, five hundred twelve".