73364032 has 56 divisors (see below), whose sum is σ = 168469056. Its totient is φ = 31047168.

The previous prime is 73364021. The next prime is 73364117. The reversal of 73364032 is 23046337.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36198 + ... + 38170.

It is an arithmetic number, because the mean of its divisors is an integer number (3008376).

Almost surely, 2^73364032 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 73364032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84234528).

73364032 is an abundant number, since it is smaller than the sum of its proper divisors (95105024).

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

73364032 is a wasteful number, since it uses less digits than its factorization.

73364032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 28.

The square root of 73364032 is about 8565.2806142006. The cubic root of 73364032 is about 418.6274772753.

The spelling of 73364032 in words is "seventy-three million, three hundred sixty-four thousand, thirty-two".