73505832 has 64 divisors (see below), whose sum is σ = 194419200. Its totient is φ = 23094720.

The previous prime is 73505827. The next prime is 73505849. The reversal of 73505832 is 23850537.

It is a junction number, because it is equal to n+sod(n) for n = 73505793 and 73505802.

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, 150693 + ... + 151179.

It is an arithmetic number, because the mean of its divisors is an integer number (3037800).

Almost surely, 2^73505832 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 73505832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97209600).

73505832 is an abundant number, since it is smaller than the sum of its proper divisors (120913368).

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

73505832 is a wasteful number, since it uses less digits than its factorization.

73505832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 73505832 is about 8573.5542221415. The cubic root of 73505832 is about 418.8970152246.

The spelling of 73505832 in words is "seventy-three million, five hundred five thousand, eight hundred thirty-two".