73133016 has 64 divisors (see below), whose sum is σ = 204871680. Its totient is φ = 21559680.

The previous prime is 73132973. The next prime is 73133023. The reversal of 73133016 is 61033137.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6025 + ... + 13511.

It is an arithmetic number, because the mean of its divisors is an integer number (3201120).

Almost surely, 2^73133016 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 73133016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102435840).

73133016 is an abundant number, since it is smaller than the sum of its proper divisors (131738664).

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

73133016 is a wasteful number, since it uses less digits than its factorization.

73133016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7544 (or 7540 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 73133016 is about 8551.7843752050. The cubic root of 73133016 is about 418.1876098986.

The spelling of 73133016 in words is "seventy-three million, one hundred thirty-three thousand, sixteen".