73694016 has 112 divisors (see below), whose sum is σ = 236402880. Its totient is φ = 22325760.

The previous prime is 73693999. The next prime is 73694041. The reversal of 73694016 is 61049637.

It is a super-3 number, since 3×73694016³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17070 + ... + 20946.

It is an arithmetic number, because the mean of its divisors is an integer number (2110740).

Almost surely, 2^73694016 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 73694016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118201440).

73694016 is an abundant number, since it is smaller than the sum of its proper divisors (162708864).

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

73694016 is a wasteful number, since it uses less digits than its factorization.

73694016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909 (or 3893 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 73694016 is about 8584.5218853469. The cubic root of 73694016 is about 419.2541866127.

The spelling of 73694016 in words is "seventy-three million, six hundred ninety-four thousand, sixteen".