73964016 has 200 divisors, whose sum is σ = 253507584. Its totient is φ = 20373120.

The previous prime is 73964003. The next prime is 73964027. The reversal of 73964016 is 61046937.

73964016 is a `hidden beast` number, since 7 + 3 + 9 + 640 + 1 + 6 = 666.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 281101 + ... + 281363.

Almost surely, 2^73964016 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 73964016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126753792).

73964016 is an abundant number, since it is smaller than the sum of its proper divisors (179543568).

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

73964016 is a wasteful number, since it uses less digits than its factorization.

73964016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 306 counting only the distinct ones).

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

The square root of 73964016 is about 8600.2334852026. The cubic root of 73964016 is about 419.7655834741.

The spelling of 73964016 in words is "seventy-three million, nine hundred sixty-four thousand, sixteen".