73684992 has 96 divisors (see below), whose sum is σ = 200491200. Its totient is φ = 24059904.

The previous prime is 73684991. The next prime is 73684997. The reversal of 73684992 is 29948637.

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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73684991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411559 + ... + 411737.

It is an arithmetic number, because the mean of its divisors is an integer number (2088450).

Almost surely, 2^73684992 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 73684992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100245600).

73684992 is an abundant number, since it is smaller than the sum of its proper divisors (126806208).

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

73684992 is a wasteful number, since it uses less digits than its factorization.

73684992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 251 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 73684992 is about 8583.9962721334. The cubic root of 73684992 is about 419.2370730377.

The spelling of 73684992 in words is "seventy-three million, six hundred eighty-four thousand, nine hundred ninety-two".