73685752 has 96 divisors (see below), whose sum is σ = 174621600. Its totient is φ = 28514304.

The previous prime is 73685747. The next prime is 73685761. The reversal of 73685752 is 25758637.

It is a junction number, because it is equal to n+sod(n) for n = 73685699 and 73685708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 469258 + ... + 469414.

It is an arithmetic number, because the mean of its divisors is an integer number (1818975).

Almost surely, 2^73685752 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 73685752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87310800).

73685752 is an abundant number, since it is smaller than the sum of its proper divisors (100935848).

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

73685752 is a wasteful number, since it uses less digits than its factorization.

73685752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 212 counting only the distinct ones).

The product of its digits is 352800, while the sum is 43.

The square root of 73685752 is about 8584.0405404448. The cubic root of 73685752 is about 419.2385143944.

The spelling of 73685752 in words is "seventy-three million, six hundred eighty-five thousand, seven hundred fifty-two".