73034016 has 192 divisors, whose sum is σ = 227598336. Its totient is φ = 20275200.

The previous prime is 73033981. The next prime is 73034021. The reversal of 73034016 is 61043037.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 752880 + ... + 752976.

It is an arithmetic number, because the mean of its divisors is an integer number (1185408).

Almost surely, 2^73034016 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 73034016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113799168).

73034016 is an abundant number, since it is smaller than the sum of its proper divisors (154564320).

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

73034016 is a wasteful number, since it uses less digits than its factorization.

73034016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 73034016 is about 8545.9941493076. The cubic root of 73034016 is about 417.9988248099.

The spelling of 73034016 in words is "seventy-three million, thirty-four thousand, sixteen".